How do you find the number of distinct arrangements of the letters in TENNESSEE?

1 Answer
Noah G
Apr 15, 2016

For this problem, you must use the formula #(n!)/(n_1! xx n_2! ...#, where n is the number of letters and #n_1 and n_2# are different
letters.

Explanation:

In TENNESSEE there are 2 n's, 2 s's, 4 e's and a total of 9 letters.

Thus, our expression is #(9!)/(2! xx 2! xx 4!)#

Calculating, we get 3780.

There are 3780 distinct arrangements of the letters in the word TENNESSEE.

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