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Math Help - Generalized Permutations and Combinations

  1. #1
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    Generalized Permutations and Combinations

    How many ways are there to distribute 12 indistinguishable balls into 9 distinguisable bins?
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  2. #2
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    Quote Originally Posted by aaronrj View Post
    How many ways are there to distribute 12 indistinguishable balls into 9 distinguisable bins?
    The number of ways distribute K indistinguishable balls into N distinguishable bins is
    {{K+N-1} \choose K}.
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  3. #3
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    c(9+12-1, 12) = c(20, 12) = 20! / 8!12! = 125970

    I GOT THAT BY LOOKING AT EXAMPLE 9 ON PAGE 377
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