How many distinct permutations can be formed using the letters of the word TENNESSEE?

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1142808

2026-08-03 18:00

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The Word "Tennessee" consists of 9 letters, with the following frequency of each letter: T (1), E (4), N (2), S (2). To find the number of distinct permutations, we use the formula for permutations of a multiset:

[ \frac{n!}{n_1! \times n_2! \times n_3! \times \ldots} ]

This gives us:

[ \frac{9!}{1! \times 4! \times 2! \times 2!} = \frac{362880}{1 \times 24 \times 2 \times 2} = \frac{362880}{96} = 3780 ]

Thus, there are 3,780 distinct permutations of the letters in "TENNESSEE."

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