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2023 AMC 12B Problems/Problem 23

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Problem

When a standard $6$-sided die is rolled $n$ times, the product of the $n$ numbers rolled can be any of $936$ possible values. What is $n$? $\textbf{(A) }11\qquad\textbf{(B) }6\qquad\textbf{(C) }8\qquad\textbf{(D) }10\qquad\textbf{(E) }9$

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