Receiving Helpdesk

how do you do permutations on a ti 84

by Mr. Rollin Kunde Published 3 years ago Updated 2 years ago

How do you do permutations on a TI 84?

  • On the Home screen, enter n, the total number of items in the set.
  • Press.
  • Press [2] to evaluate a permutation or press [3] to evaluate a combination.
  • Enter r, the number of items selected from the set, and press [ENTER] to display the result.

Part of a video titled TI-84 Calculator - 28 - Permutations, Combinations, Factorials
4:43
7:35
Say you wanted to do a permutation. Of. Five things taken two at a time so you would put five thingsMoreSay you wanted to do a permutation. Of. Five things taken two at a time so you would put five things first then you would go to the probability menu and then you would hit number two.

Full Answer

How to do antilog on TI-84?

Antilog is basically a reverse function of Log. You can calculate it by pressing [Shift] key before pressing the log key. Where is the inverse button on a TI 84? The inverse function is located in the fifth row of the left column on the calculator. To enter the multiplicative inverse of a number, enter the number and press [x–1].

How to reset a TI-84?

  1. Back up your TI-84 to a computer if you want to save any data or programs. ...
  2. Press the “2nd” button, then press “MEM.” The “MEM” button is the second function of the + key on your calculator.
  3. Select “7: Reset.” This will display the Reset menu.
  4. Press the right arrow button twice to scroll right, then select “1: All Memory.”
  5. Select “2: Reset.” Your TI-84 calculator will erase all data, programs, and apps from the device. When complete, the screen will display “RAM Cleared.”

Where is the NCR function on Ti 84?

So the values should be entered using the following steps:

  1. Press [ (] [ (] [3].
  2. Press [MATH] [►] [►] [►].
  3. Press [3] to select 3:nCr.
  4. Press [1] [►] [)].
  5. Press [ (] [9].
  6. Press [MATH] [►] [►] [►].
  7. Press [3] to select 3:nCr.
  8. Press [3] [►].
  9. Press [)] [)] [÷] [1] [2].
  10. Press [MATH] [►] [►] [►].

More items...

How to calculate the probability of permutations?

Using Permutations to Calculate Probabilities

  • Definition of Permutations compared to Combinations. Permutations and combinations might sound like synonyms. ...
  • Permutations with Repetition. ...
  • Permutations without Repetition. ...
  • Using Factorials for Permutations. ...
  • Partial Permutations without Repetition. ...
  • Worked Example of Using Permutations to Calculate Probabilities. ...

How do you do permutations on a TI 84 Plus?

0:592:27Press the math key here. This screen pops up use the right arrow key. And move over to PR OB PR OBMorePress the math key here. This screen pops up use the right arrow key. And move over to PR OB PR OB stands for probability. Now use the down arrow key. And go to number 2 NPR. Press the Enter key.

How do you do NPR and NCR on TI 84?

1:112:445 or NPR for permutation so let me select 12 i'll go to math scroll over to probability here and goMore5 or NPR for permutation so let me select 12 i'll go to math scroll over to probability here and go down to NPR.

How do you do permutations on a calculator?

4:437:35Say you wanted to do a permutation. Of. Five things taken two at a time so you would put five thingsMoreSay you wanted to do a permutation. Of. Five things taken two at a time so you would put five things first then you would go to the probability menu and then you would hit number two.

Where is the NPR function on TI-84?

0:000:425 which is a permutation of 8 items taken five at a time I would first enter the eight press mathMore5 which is a permutation of 8 items taken five at a time I would first enter the eight press math for the math menu scroll to left for PR B. And select 2 for NPR.

Popular Posts:

  • 1. how do you disassemble a sky remote
  • 2. what can you feed wallabies
  • 3. are sun chips potato chips
  • 4. encíclicas de la iglesia católica
  • 5. what do you call a person who love sunset
  • 6. what are phonetic strategies
  • 7. 21cm x 30cm in inches
  • 8. how many tablespoons is 4 oz of water
  • 9. por que es importante emprender
  • 10. sacroiliitis icd 10
    • A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
    Messages11TimelineExceptionsViews7RouteQueries7Models15Livewire0MailsGateSessionRequest
    8.3.21PHP Version737msRequest Duration2MBMemory UsageGET {post}Route
    • warninglog[19:12:14] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
    • warninglog[19:12:14] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
    • warninglog[19:12:14] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
    • warninglog[19:12:14] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
    • warninglog[19:12:14] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
    • warninglog[19:12:14] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[19:12:14] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[19:12:14] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[19:12:14] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[19:12:14] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    • warninglog[19:12:14] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
    warning
    • Booting (10.28ms)
    • Application (726ms)
    • 1 x Application (98.55%)
      726.41ms
      1 x Booting (1.4%)
      10.28ms
      7 templates were rendered
      • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
        Params
        0
        post
        1
        postContent
        2
        author
        3
        updated_at
        4
        bing_rich_snippet_text
        5
        bing_rich_snippet_link
        6
        bing_related_keywords
        7
        google_related_keywords
        8
        bing_news_title
        9
        bing_news_description
        10
        bing_videos
        11
        bing_images
        12
        bing_search_result_title
        13
        bing_search_result_description
        14
        bing_search_result_url
        15
        bing_paa_questions
        16
        bing_paa_answers
        17
        bing_slider_faq_questions
        18
        bing_slider_faq_answers
        19
        bing_pop_faq_questions
        20
        bing_pop_faq_answers
        21
        bing_tab_faq_questions
        22
        bing_tab_faq_answers
        23
        google_faq_questions
        24
        google_faq_answers
        25
        google_rich_snippet
        26
        google_search_result
        27
        indexedArray
        28
        total_images
        29
        total_videos
        30
        settings
        31
        url_current
        32
        menus
        33
        sidebar
      • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
        Params
        0
        __env
        1
        app
        2
        errors
        3
        post
        4
        postContent
        5
        author
        6
        updated_at
        7
        bing_rich_snippet_text
        8
        bing_rich_snippet_link
        9
        bing_related_keywords
        10
        google_related_keywords
        11
        bing_news_title
        12
        bing_news_description
        13
        bing_videos
        14
        bing_images
        15
        bing_search_result_title
        16
        bing_search_result_description
        17
        bing_search_result_url
        18
        bing_paa_questions
        19
        bing_paa_answers
        20
        bing_slider_faq_questions
        21
        bing_slider_faq_answers
        22
        bing_pop_faq_questions
        23
        bing_pop_faq_answers
        24
        bing_tab_faq_questions
        25
        bing_tab_faq_answers
        26
        google_faq_questions
        27
        google_faq_answers
        28
        google_rich_snippet
        29
        google_search_result
        30
        indexedArray
        31
        total_images
        32
        total_videos
        33
        settings
        34
        url_current
        35
        menus
        36
        sidebar
        37
        i
        38
        __currentLoopData
        39
        loop
        40
        item
      uri
      GET {post}
      middleware
      web, checkdate
      as
      post.show
      controller
      App\Http\Controllers\Frontend\json_data\PostController@show
      namespace
      where
      file
      app/Http/Controllers/Frontend/json_data/PostController.php:18-166
      7 statements were executed708ms
      receivinghelpdeskask
      • select * from `posts` where `published_at` <= '2025-06-07 19:12:14' and `slug` = 'how-do-you-do-permutations-on-a-ti-84' and `posts`.`deleted_at` is null limit 1
        2.87ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
        Metadata
        Bindings
        • 0. 2025-06-07 19:12:14
        • 1. how-do-you-do-permutations-on-a-ti-84
        Backtrace
        • 15. /app/Providers/RouteServiceProvider.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
        • 19. Route binding:39
        • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
      • select * from `json_post_contents` where `json_post_contents`.`post_id` = 176743 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
        3.66msmiddleware::checkdate:30receivinghelpdeskask
        Metadata
        Bindings
        • 0. 176743
        • 1. 0
        Backtrace
        • 19. middleware::checkdate:30
        • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
        • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • select * from `nova_menu_menus` where `slug` = 'header' limit 1
        400μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
        Metadata
        Bindings
        • 0. header
        Backtrace
        • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
        340μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
        Metadata
        Bindings
        • 0. 1
        Backtrace
        • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
        • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
        340μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
        Metadata
        Backtrace
        • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
        • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
        • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
        • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
        700ms/app/View/Composers/SidebarView.php:22receivinghelpdeskask
        Metadata
        Bindings
        • 0. publish
        Backtrace
        • 14. /app/View/Composers/SidebarView.php:22
        • 15. /app/View/Composers/SidebarView.php:12
        • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
        • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
      • select * from `fake_users` where `fake_users`.`id` = 13478 limit 1
        570μsview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
        Metadata
        Bindings
        • 0. 13478
        Backtrace
        • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
        • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
      App\Models\FakeUser
      1
      Outl1ne\MenuBuilder\Models\MenuItem
      1
      Outl1ne\MenuBuilder\Models\Menu
      1
      App\Models\JsonPostContent
      1
      App\Models\Post
      11
          _token
          hZjXEx7ttsz2oKNBoEx8ojQPEL3bIWltjw9HS4eo
          _previous
          array:1 [ "url" => "https://receivinghelpdesk.com/ask/how-do-you-do-permutations-on-a-ti-84" ]
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /how-do-you-do-permutations-on-a-ti-84
          status_code
          200
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          request_request
          []
          request_headers
            0 of 0   
          array:25 [▼
  "cookie" => array:1 [▶
    0 => "_pk_id.64.7c30=f9f4110eef14efa4.1749303723.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkE4dUNvcG1iQlNKNFdBRzJ5eEh2YlE9PSIsInZhbHVlIjoicGZpNlQvRE01Q0QwKzJUM0REZmErelRSK1JFb1JRakpFODNLNG5SaElLRzUzZytkMnc1dE9RNWU1SVlrU3cwWTBzSDVqK3BiM1NpNkd0NFhnRnVlSmFSY0k4UHh0enNmS1lpWFV1ZjV4cldHQlFMR3ArckpHb0J0elB3WEZ4MHUiLCJtYWMiOiI2ZDhlMGQyMWJmMzk0MzNlN2IyMTEyYmUzODFkNzhjZWU5MzQ1NTlmZDRmZjVmZGFhNGY3MTA1ZDU4ZGQ3MGEyIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6ImNBUGpsRzdBTjBOZ0NZSk9MZVlJZGc9PSIsInZhbHVlIjoiUUN6NDRHN2QzWG9JTnUzY0gydTdqeXE0NWtLL2RXYjJBajByOVhQU2JsWTlMa1VtMmxKUG9oUWhYSTRBZlE4ekFkejBJS3J5ZUxEZjBzQTJtbi93WCsyYU5YTUl1K3VXODgvRjFCVFNBM1crdzdtblpNRlJidXFJbUQ1WlArUjciLCJtYWMiOiI1OTJkM2ZiNmExMDQ1ZGI4OTQ5ZGMwNTQ1NWY5NzBiZjI4Y2ZlOTU0YjY1MmJmNjlmMjdjNDBhODVmNWZhMmVlIiwidGFnIjoiIn0%3D ◀_pk_id.64.7c30=f9f4110eef14efa4.1749303723.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkE4dUNvcG1iQlNKNFdBRzJ5eEh2YlE9PSIsInZhbHVlIjoicGZpNlQvRE01Q0QwKzJUM0REZmEre ▶"
  ]
  "cf-ipcountry" => array:1 [▶
    0 => "US"
  ]
  "cf-connecting-ip" => array:1 [▶
    0 => "216.73.216.227"
  ]
  "cdn-loop" => array:1 [▶
    0 => "cloudflare; loops=1"
  ]
  "sec-fetch-mode" => array:1 [▶
    0 => "navigate"
  ]
  "sec-fetch-site" => array:1 [▶
    0 => "none"
  ]
  "accept" => array:1 [▶
    0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  ]
  "user-agent" => array:1 [▶
    0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  ]
  "upgrade-insecure-requests" => array:1 [▶
    0 => "1"
  ]
  "sec-ch-ua-platform" => array:1 [▶
    0 => ""Windows""
  ]
  "sec-ch-ua-mobile" => array:1 [▶
    0 => "?0"
  ]
  "sec-ch-ua" => array:1 [▶
    0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "accept-encoding" => array:1 [▶
    0 => "gzip, br"
  ]
  "cf-ray" => array:1 [▶
    0 => "94c092535fc522c3-ORD"
  ]
  "priority" => array:1 [▶
    0 => "u=0, i"
  ]
  "sec-fetch-dest" => array:1 [▶
    0 => "document"
  ]
  "sec-fetch-user" => array:1 [▶
    0 => "?1"
  ]
  "cf-visitor" => array:1 [▶
    0 => "{"scheme":"https"}"
  ]
  "connection" => array:1 [▶
    0 => "close"
  ]
  "x-forwarded-proto" => array:1 [▶
    0 => "https"
  ]
  "x-forwarded-for" => array:1 [▶
    0 => "216.73.216.227, 172.71.255.115"
  ]
  "x-server-addr" => array:1 [▶
    0 => "154.12.239.204"
  ]
  "host" => array:1 [▶
    0 => "receivinghelpdesk.com"
  ]
]
          request_server
            0 of 0   
          array:56 [▼
  "USER" => "runcloud"
  "HOME" => "/home/runcloud"
  "SCRIPT_NAME" => "/ask/index.php"
  "REQUEST_URI" => "/ask/how-do-you-do-permutations-on-a-ti-84"
  "QUERY_STRING" => ""
  "REQUEST_METHOD" => "GET"
  "SERVER_PROTOCOL" => "HTTP/1.0"
  "GATEWAY_INTERFACE" => "CGI/1.1"
  "REDIRECT_URL" => "/ask/how-do-you-do-permutations-on-a-ti-84"
  "REMOTE_PORT" => "45222"
  "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php"
  "SERVER_ADMIN" => "you@example.com"
  "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/"
  "CONTEXT_PREFIX" => ""
  "REQUEST_SCHEME" => "http"
  "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/"
  "REMOTE_ADDR" => "172.71.255.115"
  "SERVER_PORT" => "80"
  "SERVER_ADDR" => "127.0.0.1"
  "SERVER_NAME" => "receivinghelpdesk.com"
  "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f"
  "SERVER_SIGNATURE" => ""
  "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib"
  "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin"
  "HTTP_COOKIE" => "_pk_id.64.7c30=f9f4110eef14efa4.1749303723.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkE4dUNvcG1iQlNKNFdBRzJ5eEh2YlE9PSIsInZhbHVlIjoicGZpNlQvRE01Q0QwKzJUM0REZmErelRSK1JFb1JRakpFODNLNG5SaElLRzUzZytkMnc1dE9RNWU1SVlrU3cwWTBzSDVqK3BiM1NpNkd0NFhnRnVlSmFSY0k4UHh0enNmS1lpWFV1ZjV4cldHQlFMR3ArckpHb0J0elB3WEZ4MHUiLCJtYWMiOiI2ZDhlMGQyMWJmMzk0MzNlN2IyMTEyYmUzODFkNzhjZWU5MzQ1NTlmZDRmZjVmZGFhNGY3MTA1ZDU4ZGQ3MGEyIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6ImNBUGpsRzdBTjBOZ0NZSk9MZVlJZGc9PSIsInZhbHVlIjoiUUN6NDRHN2QzWG9JTnUzY0gydTdqeXE0NWtLL2RXYjJBajByOVhQU2JsWTlMa1VtMmxKUG9oUWhYSTRBZlE4ekFkejBJS3J5ZUxEZjBzQTJtbi93WCsyYU5YTUl1K3VXODgvRjFCVFNBM1crdzdtblpNRlJidXFJbUQ1WlArUjciLCJtYWMiOiI1OTJkM2ZiNmExMDQ1ZGI4OTQ5ZGMwNTQ1NWY5NzBiZjI4Y2ZlOTU0YjY1MmJmNjlmMjdjNDBhODVmNWZhMmVlIiwidGFnIjoiIn0%3D ◀_pk_id.64.7c30=f9f4110eef14efa4.1749303723.; _pk_ses.64.7c30=1; XSRF-TOKEN=eyJpdiI6IkE4dUNvcG1iQlNKNFdBRzJ5eEh2YlE9PSIsInZhbHVlIjoicGZpNlQvRE01Q0QwKzJUM0REZmEre ▶"
  "HTTP_CF_IPCOUNTRY" => "US"
  "HTTP_CF_CONNECTING_IP" => "216.73.216.227"
  "HTTP_CDN_LOOP" => "cloudflare; loops=1"
  "HTTP_SEC_FETCH_MODE" => "navigate"
  "HTTP_SEC_FETCH_SITE" => "none"
  "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  "HTTP_UPGRADE_INSECURE_REQUESTS" => "1"
  "HTTP_SEC_CH_UA_PLATFORM" => ""Windows""
  "HTTP_SEC_CH_UA_MOBILE" => "?0"
  "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  "HTTP_CACHE_CONTROL" => "no-cache"
  "HTTP_PRAGMA" => "no-cache"
  "HTTP_ACCEPT_ENCODING" => "gzip, br"
  "HTTP_CF_RAY" => "94c092535fc522c3-ORD"
  "HTTP_PRIORITY" => "u=0, i"
  "HTTP_SEC_FETCH_DEST" => "document"
  "HTTP_SEC_FETCH_USER" => "?1"
  "HTTP_CF_VISITOR" => "{"scheme":"https"}"
  "HTTP_CONNECTION" => "close"
  "HTTP_X_FORWARDED_PROTO" => "https"
  "HTTP_X_FORWARDED_FOR" => "216.73.216.227, 172.71.255.115"
  "HTTP_X_SERVER_ADDR" => "154.12.239.204"
  "HTTP_HOST" => "receivinghelpdesk.com"
  "HTTPS" => "on"
  "REDIRECT_STATUS" => "200"
  "REDIRECT_HTTPS" => "on"
  "FCGI_ROLE" => "RESPONDER"
  "PHP_SELF" => "/ask/index.php"
  "REQUEST_TIME_FLOAT" => 1749303734.3157
  "REQUEST_TIME" => 1749303734
]
          request_cookies
            0 of 0   
          array:4 [▼
  "_pk_id_64_7c30" => null
  "_pk_ses_64_7c30" => null
  "XSRF-TOKEN" => "hZjXEx7ttsz2oKNBoEx8ojQPEL3bIWltjw9HS4eo"
  "askhelpdesk_session" => "u6dzMbOQAyvEb9VwFTpGZbckQ67SjXzFuJIvbSAo"
]
          response_headers
            0 of 0   
          array:7 [▼
  "content-type" => array:1 [▶
    0 => "text/html; charset=UTF-8"
  ]
  "cache-control" => array:1 [▶
    0 => "private, must-revalidate"
  ]
  "date" => array:1 [▶
    0 => "Sat, 07 Jun 2025 13:42:14 GMT"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "expires" => array:1 [▶
    0 => -1
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6ImJuN1JPTGc4bkhpZE9hMmY5QWdRV2c9PSIsInZhbHVlIjoiWWNLZldKVHZReGJOQllPVGVwcENteTVCNzJCNlhJRytJMWR1NXRaT3dqdk8wc2tGM05QaGFId09qemZvM1JZdDRpTjZnT3Z0RmZVQVVVeWtHYkVNRUZRZjF2TDM3dUlxYU03Y3Q3WUxrSlNwVTVVZWkzZndZZnVqMHZ3ckhEVFUiLCJtYWMiOiJiM2MyMTI1YTNmNjc0NWQ5NTNhMjhhZDM2NzFhNjdmZjc1NjZiNTgxYzgzYjM4NWFjYzAyOGI1YzkzNDBlYjFjIiwidGFnIjoiIn0%3D; expires=Sat, 07-Jun-2025 15:42:15 GMT; Max-Age=7200; path=/; samesite=lax ◀XSRF-TOKEN=eyJpdiI6ImJuN1JPTGc4bkhpZE9hMmY5QWdRV2c9PSIsInZhbHVlIjoiWWNLZldKVHZReGJOQllPVGVwcENteTVCNzJCNlhJRytJMWR1NXRaT3dqdk8wc2tGM05QaGFId09qemZvM1JZdDRpTjZnT ▶"
    1 => "askhelpdesk_session=eyJpdiI6InhhQzdvZEZvc2hmQ2hnYjlRdkM3TFE9PSIsInZhbHVlIjoiMUVsVDBtVVBYU2hrTmsrQkFNMGVrOEVJTlNyK3gwLzQ4enFEVXVUdEVMek03eWtFbThYRTc0dGZYUEJBVFdBNVgyTCtxb3hnaEI0bnVxdkNWdUEwZWF0bndyaU45bUVRMWd5M1RwTWJ3RXAwOHE0eGV4cURVTjAzWU1LMjN1cSsiLCJtYWMiOiJmMzMzZWQ2YWQ0MGU5MTVjMDc3YzIzMzc1MTNkOWI0YzJkNWI1NmE1NDgyZTM4MGY5ZjQ0NWU3MTQ3ZjI5NzZiIiwidGFnIjoiIn0%3D; expires=Sat, 07-Jun-2025 15:42:15 GMT; Max-Age=7200; path=/; httponly; samesite=lax ◀askhelpdesk_session=eyJpdiI6InhhQzdvZEZvc2hmQ2hnYjlRdkM3TFE9PSIsInZhbHVlIjoiMUVsVDBtVVBYU2hrTmsrQkFNMGVrOEVJTlNyK3gwLzQ4enFEVXVUdEVMek03eWtFbThYRTc0dGZYUEJBVFdB ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6ImJuN1JPTGc4bkhpZE9hMmY5QWdRV2c9PSIsInZhbHVlIjoiWWNLZldKVHZReGJOQllPVGVwcENteTVCNzJCNlhJRytJMWR1NXRaT3dqdk8wc2tGM05QaGFId09qemZvM1JZdDRpTjZnT3Z0RmZVQVVVeWtHYkVNRUZRZjF2TDM3dUlxYU03Y3Q3WUxrSlNwVTVVZWkzZndZZnVqMHZ3ckhEVFUiLCJtYWMiOiJiM2MyMTI1YTNmNjc0NWQ5NTNhMjhhZDM2NzFhNjdmZjc1NjZiNTgxYzgzYjM4NWFjYzAyOGI1YzkzNDBlYjFjIiwidGFnIjoiIn0%3D; expires=Sat, 07-Jun-2025 15:42:15 GMT; path=/ ◀XSRF-TOKEN=eyJpdiI6ImJuN1JPTGc4bkhpZE9hMmY5QWdRV2c9PSIsInZhbHVlIjoiWWNLZldKVHZReGJOQllPVGVwcENteTVCNzJCNlhJRytJMWR1NXRaT3dqdk8wc2tGM05QaGFId09qemZvM1JZdDRpTjZnT ▶"
    1 => "askhelpdesk_session=eyJpdiI6InhhQzdvZEZvc2hmQ2hnYjlRdkM3TFE9PSIsInZhbHVlIjoiMUVsVDBtVVBYU2hrTmsrQkFNMGVrOEVJTlNyK3gwLzQ4enFEVXVUdEVMek03eWtFbThYRTc0dGZYUEJBVFdBNVgyTCtxb3hnaEI0bnVxdkNWdUEwZWF0bndyaU45bUVRMWd5M1RwTWJ3RXAwOHE0eGV4cURVTjAzWU1LMjN1cSsiLCJtYWMiOiJmMzMzZWQ2YWQ0MGU5MTVjMDc3YzIzMzc1MTNkOWI0YzJkNWI1NmE1NDgyZTM4MGY5ZjQ0NWU3MTQ3ZjI5NzZiIiwidGFnIjoiIn0%3D; expires=Sat, 07-Jun-2025 15:42:15 GMT; path=/; httponly ◀askhelpdesk_session=eyJpdiI6InhhQzdvZEZvc2hmQ2hnYjlRdkM3TFE9PSIsInZhbHVlIjoiMUVsVDBtVVBYU2hrTmsrQkFNMGVrOEVJTlNyK3gwLzQ4enFEVXVUdEVMek03eWtFbThYRTc0dGZYUEJBVFdB ▶"
  ]
]
          session_attributes
            0 of 0   
          array:4 [▼
  "_token" => "hZjXEx7ttsz2oKNBoEx8ojQPEL3bIWltjw9HS4eo"
  "_previous" => array:1 [▶
    "url" => "https://receivinghelpdesk.com/ask/how-do-you-do-permutations-on-a-ti-84"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]