# The number of permutations of the letters of the word ‘MESMERISE’ is___________?

**The number of permutations of the letters of the word ‘MESMERISE’ is___________?**

**A. 9!/(2!) ^{2} 3! (Correct)**

B. 9!/(2!)

^{3}3!

C. 9!/(2!)

^{2}(3!)

^{2}

D. 5!/(2!)

^{2}3!

Explanation:

n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.

The letter pattern ‘MESMERISE’ consists of 10 letters of which there are 2M’s, 3E’s, 2S’s and 1I and 1R.

Number of arrangements = 9!/(2!)^{2} 3!