2024 SMO Open Category

2024 SMO Open Category

Tutorial

Let \(n\) denote the number of ways of arranging all the letters of the word MATHEMATICS in one row such that

(1) both M’s precede both T’s and

(2) neither the two M’s not the two T’s are next to each other.

Determine the value of \(\frac{n}{6!}\).

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Answer:\(441\)

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