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2021 April MIMC 10 Problems/Problem 16

Revision as of 17:35, 22 April 2021 by Cellsecret (talk | contribs) (Created page with "Find the number of permutations of <math>AAABBC</math> such that at exactly two <math>A</math>s are adjacent, and the <math>B</math>s are not adjacent. <math>\textbf{(A)} ~2...")
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Find the number of permutations of $AAABBC$ such that at exactly two $A$s are adjacent, and the $B$s are not adjacent.

$\textbf{(A)} ~21 \qquad\textbf{(B)} ~22 \qquad\textbf{(C)} ~23 \qquad\textbf{(D)} ~24 \qquad\textbf{(E)} ~25$

Solution

To be Released on April 26th.

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