Question

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

Answer 1

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.