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Math Help - n choose k

  1. #1
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    n choose k

    n chooses k n on top k below in brackets
    what that means

    like 75 on top 3 below in brackets
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  2. #2
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    Quote Originally Posted by math321 View Post
    n chooses k n on top k below in brackets
    what that means

    like 75 on top 3 below in brackets
    Surely it is defined in your textbook or class notes! Out of interest, where have you met this notation ....?
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  3. #3
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    \binom{n}{k}=\frac{n!}{(n-k)!k!}

    \binom{75}{3}=\frac{75!}{(72)!3!}
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  4. #4
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    Quote Originally Posted by math321 View Post
    n chooses k n on top k below in brackets
    what that means like 75 on top 3 below in brackets
    Do you mean this
    \left\{ {\begin{array}{*{20}c}   n  \\   k  \\ \end{array} } \right\} and not \binom{n}{k}~?
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