I don't know the exact formula to use for this expansion I have tried to use multiple equations so therefore there must be one you can use.

  • $\begingroup$ Did you try the definition of factorial? $n! = n*n-1*...*2*1$ $\endgroup$ – John Habert Feb 19 '14 at 18:25
  • $\begingroup$ How would it work for a binomial as a fraction like the ones given in the question. $\endgroup$ – iRONS101 Feb 19 '14 at 18:28
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    $\begingroup$ What is the question? $\endgroup$ – Did Feb 19 '14 at 18:28
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    $\begingroup$ Hint: $8!=(8)(7)(6!)$. $\endgroup$ – André Nicolas Feb 19 '14 at 18:28

For an integer $n$, $n!$ is defined as the product of all positive integers $\le n$ or equivalently as $n*(n-1)!$ and $0!$ is defined as $1$. Use these definitions.


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