Question

Consider the word ${}^{\prime }PERMUTATIO{N}^{\prime }$

Out of all the permutations how many words start with the letter $M$?

• A. $10!$
• B. $\frac{10!}{2!}$
• C. $11!$
• D. $10!\times 2!$

Answer 1

The correct option is B $\frac{10!}{2!}$

In the word "PERMUTATION'

Words has to be started with M. There are total $10$ letters

There are $10$ letters with $2$ alike letters.

Number of permutations $=\frac{10!}{2}$