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Which expressions are equal to the multinomial coefficient:

$${9\choose 4,\,3,\,2}?$$

Select ALL that apply.

A

${9\choose 3,\,4,\,2}$

B

${9\choose 4}{5\choose 3}{2\choose2}$

C

$\cfrac{9!}{4! + 3! + 2!}$

D

$\cfrac{9!}{4!}\cdot\cfrac{9!}{3!}\cdot\cfrac{9!}{2!}$

E

${9\choose 4}{9\choose 3}{9\choose2}$

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