Problem

2024 Mock AMC 12 - Problem 10

How many permutations of the word $TOPSOJ$ do not contain the words “ $TOPS$ ” or “ $OJ$ ” in them? For example, $TOPSJO$ and $TOJPOS$ are invalid, while $TOSPJO$ is valid.

$\textbf{(A) }216\qquad\textbf{(B) }234\qquad\textbf{(C) }236\qquad\textbf{(D) }594\qquad\textbf{(E) }596$

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Problem Tags: Counting and probability

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Category: Mock AMC 12
Points: 2
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