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Hi, I've been scratching around trying to figure out a formula for the following problem and I've got one that I think is correct. Just wondering if anyone can confirm it for certain (like maybe you have it in a textbook or know it well etc). Thanks.
Problem : You need to partition n=k*m distinct objects into k sets each containing m objects. How many ways can you do this?
Proposed Answer :
Number of possible distinct partitionings = n! / ( k! * (m!)^k )
(I think it's correct).
Problem : You need to partition n=k*m distinct objects into k sets each containing m objects. How many ways can you do this?
Proposed Answer :
Number of possible distinct partitionings = n! / ( k! * (m!)^k )
(I think it's correct).
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