Question

Write the number of all possible words that cna be formed using the letters of the word 'MATHEMATICS'.

Answer 1

There are 11 letters in the word 'MATHEMATICS' out of which 2 are M's, 2 are A's, 2 are T's and the rest are all distinct.

So, the required number of words = $\frac{11!}{2!2!2!}$

=$\frac{11!}{(2!{)}^3}$