The number of permutations of the letters of the word 'MESMERISE' is___________?
Correct answer: A. 9!/(2!)2 3!
- A. 9!/(2!)2 3!
- B. 9!/(2!)3 3!
- C. 9!/(2!)2 (3!)2
- D. 5!/(2!)2 3!
Explanation
MESMERISE has 9 letters, with E repeated 3 times, M repeated 2 times and S repeated 2 times. Therefore the distinct arrangements are 9!/(3! x 2! x 2!), which is the expression in option a. The likely trap is option b, which uses three factors of 2! and overcounts the arrangements.
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