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Math Help - Simplify factorial containing only variables : possible ?

  1. #1
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    Simplify factorial containing only variables : possible ?

    Hi,

    I'm writing here tonight to ask you if it's possible to simplify this :

    \frac{z!}{(z-e)!}

    My colleague and I are intrigued in a homework about how someone got to a very different solution that does also work... we're trying to see if we can simplify some stuff.

    If you dare try to simplify out stuff... here it is :

    \frac{n!}{(n-k)!k!} \sum\limits_{e=0}^{\frac{k(k-1)}{2}} \frac{\frac{k(k-1)}{2}!}{(\frac{k(k-1)}{2}-e)!e!}

    You probably understood that z=\frac{k(k-1)}{2}
    Last edited by NZAU1984; November 28th 2012 at 08:58 PM.
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  2. #2
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    Re: Simplify factorial containing only variables : possible ?

    Is e a variable or Euler's number?
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  3. #3
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    Re: Simplify factorial containing only variables : possible ?

    Hi,

    It's a variable, it stands for "edge" are this formula calculates the number of subgraphs of k vertex in a complete graph Kn.
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