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Possible Duplicate:
How many ways can $b$ balls be distributed in $c$ containers with no more than $n$ balls in any given container?

There are $k$ balls and $d$ bowls. In how many ways the balls can be put in the bowls? Capacity of bowls is limited, each bowl can contain $\{0,1,2,\dots,M\}$ balls.

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    I think the question might have been cross-posted on Mathematics and CrossValidation and the stats moderators migrated their's to here giving us a duplicate.2012-08-17

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