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Math Help - Problem with Binomial Coefficients

  1. #1
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    Problem with Binomial Coefficients

    Hi everybody,

    Has somebody any idea why the following is true....?
    Problem with Binomial Coefficients-problem-binomial-coefficients.jpg

    Which rules are applied here?

    Thank you very much for any help!
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  2. #2
    MHF Contributor

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    Re: Problem with Binomial Coefficients

    Quote Originally Posted by Marmy View Post
    Has somebody any idea why the following is true....? Click image for larger version. 

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    Suppose that we have m\text{ men and }n\text{ women}.
    If we want to select a committee of k can that be done in \sum\limits_{i = 0}^k {\binom{m}{k-i}\binom{n}{i} ways?
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  3. #3
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    Re: Problem with Binomial Coefficients

    Thanks, very helpful again. I think I understand now!
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