Question

Find the total number of permutations of the letters of the word 'INSTITUTE'.

Answer 1

There are 9 letters in the word 'INSTITUTE' out of which 2 are 1's, 3 are T's and the rest are all distinct.

$\therefore$ The total number of permutations of the letters of the word 'INSTITUTE' = $\frac{9!}{2!3!}$

Hence, the total number of words are = $\frac{9!}{2!3!}$