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Math Help - Getting rid of factorials

  1. #1
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    Getting rid of factorials

    I want to prove the following equation but don't know how to get rid of these factorials.
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  2. #2
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    Are you sure you have to prove it? Try picking a few random numbers: <br />
\begin{cases} n = 3 & m = 2 \\ p = 1 & q = 2 \end{cases}

    \frac{n!}{(m-1)!(n-m+1)!}p^{m-1}q^{n-m+1} = \frac{3!}{(2-1)! (3-2+1)!} (1)^{2-1} (2)^{3-2+1} = 12

    mq = (2)(2) = 4
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  3. #3
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    That equation is associated with probability, so p=1-q.
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