how to proof combinatorial identity of hypergeometric distribution [closed]

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hypergeometric-function




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closed as off-topic by John Ma, Lord Shark the Unknown, Isaac Browne, Mostafa Ayaz, José Carlos Santos Aug 1 at 22:58


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enter image description here



How?




hypergeometric-function




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closed as off-topic by John Ma, Lord Shark the Unknown, Isaac Browne, Mostafa Ayaz, José Carlos Santos Aug 1 at 22:58


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – John Ma, Lord Shark the Unknown, Isaac Browne, Mostafa Ayaz, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.












  • Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    – José Carlos Santos
    Jul 30 at 11:46












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enter image description here



How?




hypergeometric-function




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enter image description here



How?





hypergeometric-function





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asked Jul 30 at 11:41









Plerng X

6




6




closed as off-topic by John Ma, Lord Shark the Unknown, Isaac Browne, Mostafa Ayaz, José Carlos Santos Aug 1 at 22:58


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – John Ma, Lord Shark the Unknown, Isaac Browne, Mostafa Ayaz, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by John Ma, Lord Shark the Unknown, Isaac Browne, Mostafa Ayaz, José Carlos Santos Aug 1 at 22:58


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – John Ma, Lord Shark the Unknown, Isaac Browne, Mostafa Ayaz, José Carlos Santos
If this question can be reworded to fit the rules in the help center, please edit the question.











  • Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    – José Carlos Santos
    Jul 30 at 11:46
















  • Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    – José Carlos Santos
    Jul 30 at 11:46















Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
– José Carlos Santos
Jul 30 at 11:46




Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
– José Carlos Santos
Jul 30 at 11:46










1 Answer
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This is indeed described by the following problem:




let we have N pairwise different balls for which we have separated K among them. Then for choosing $n$ from all the $N$ balls the possible ways are to choose $k$ from the $K$ divergent balls and the rest ($n-k$ balls) from the other unseparated balls for $k=0,1,cdots, n$.







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    1 Answer
    1






    active

    oldest

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    1 Answer
    1






    active

    oldest

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    active

    oldest

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    active

    oldest

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    up vote
    0
    down vote













    This is indeed described by the following problem:




    let we have N pairwise different balls for which we have separated K among them. Then for choosing $n$ from all the $N$ balls the possible ways are to choose $k$ from the $K$ divergent balls and the rest ($n-k$ balls) from the other unseparated balls for $k=0,1,cdots, n$.







    share|cite|improve this answer

























      up vote
      0
      down vote













      This is indeed described by the following problem:




      let we have N pairwise different balls for which we have separated K among them. Then for choosing $n$ from all the $N$ balls the possible ways are to choose $k$ from the $K$ divergent balls and the rest ($n-k$ balls) from the other unseparated balls for $k=0,1,cdots, n$.







      share|cite|improve this answer























        up vote
        0
        down vote










        up vote
        0
        down vote









        This is indeed described by the following problem:




        let we have N pairwise different balls for which we have separated K among them. Then for choosing $n$ from all the $N$ balls the possible ways are to choose $k$ from the $K$ divergent balls and the rest ($n-k$ balls) from the other unseparated balls for $k=0,1,cdots, n$.







        share|cite|improve this answer













        This is indeed described by the following problem:




        let we have N pairwise different balls for which we have separated K among them. Then for choosing $n$ from all the $N$ balls the possible ways are to choose $k$ from the $K$ divergent balls and the rest ($n-k$ balls) from the other unseparated balls for $k=0,1,cdots, n$.








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        share|cite|improve this answer











        answered Aug 1 at 18:02









        Mostafa Ayaz

        8,5023630




        8,5023630












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