Question

How many words can be made from the letters of the word COMMITTEE

• A. $\frac{9!}{(2!{)}^2}$
• B. $\frac{9!}{(2!{)}^3}$
• C. $\frac{9!}{(2!)}$
• D. $9!$

Answer 1

The correct option is B $\frac{9!}{(2!{)}^3}$

we have one each of C, O and I. Two of M, T and E.
Therefore total number of distinct words that can be formed will be.
$\frac{9!}{(2!{)}^3}$