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

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 ${n}_{1} \mathmr{and} {n}_{2}$ 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.