Answering Exams

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!

 

Comments
Loading...
Share