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The number of ways in which mn different object can be divided equally into m groups,each containing n objects,Please Explain

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I think this will work:

$\frac{\binom{mn}{n}*\binom{mn-n}{n} *\binom{mn-2n}{n}*...}{m!}$

 

Try taking balls B1 B2 B3 B4 and distribute them into 2 groups/partitions with each group containing 2 balls.

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Simplified formula here

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