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Math Help - Factorial problem

  1. #1
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    Factorial problem

    I stumbled across this problem online, and was wondering how to go about solving it.

    \frac{((5000!)!)!}{(400!)!}

    It seems like the answer would be incredibly large.
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  2. #2
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    Re: Factorial problem

    Yes indeed it is very large and normal calculators can compute til 79!..
    anyway use stirlings approximation formula...

    see here

    Stirling's approximation - Wikipedia, the free encyclopedia
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