Division into Identical Groups

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Number of ways to divide n distinct objects into groups of specified sizes (with groups indistinguishable). Let there be k groups of size s1, m groups of size s2, etc. (so that k*s1 + m*s2 + ... = n). Then:

$$ \frac{n!}{(s_1!)^k (s_2!)^m \dots \times (k! m! \dots)} $$
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