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Homework Help: Stirling's formula

  1. Apr 5, 2009 #1
    How many ways are there to choose 5000 objects out of a jar full of 10 000 distinct objects?


    Number of ways = (10000 5000)

    ln 10000! = 10000 ln 10000 - 10 000 + 0.5ln(2*pi*M) = 82108 --> 10000! = e^82108

    I still get overflow on my calculator!
  2. jcsd
  3. Apr 6, 2009 #2


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    Homework Helper

    oooh … paper!

    Hi superwolf! :smile:
    then do it on paper first, putting in the 50005000, do a bit of cancelling, and then worry the poor old computer! :wink:
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