# Math Help - Generalized Permutations and Combinations

1. ## Generalized Permutations and Combinations

How many ways are there to distribute 12 indistinguishable balls into 9 distinguisable bins?

2. Originally Posted by aaronrj
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
${{K+N-1} \choose K}$.

3. c(9+12-1, 12) = c(20, 12) = 20! / 8!12! = 125970

I GOT THAT BY LOOKING AT EXAMPLE 9 ON PAGE 377