for questions about multinomial coefficients
Multinomial coefficients are the coefficients arising in the expansion of:
$$(a_1+\dots+a_k)^n$$
and take the form:
$$\binom{n}{m_1,\dots,m_k}=\frac{n!}{m_1!\dots m_k!}$$
where:
$$\sum_{i=1}^k m_i = n$$
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