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Find the number of permutations of letters of the following word: REPRESENT - Mathematics and Statistics

Sum

Find the number of permutations of letters of the following word: REPRESENT

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Solution

The word REPRESENT has 9 letters of which ‘E’ is repeated 3 times, ‘R’ is repeated 2 times, and the rest all are different.
∴ The number of distinct permutations

= `("n"!)/("p"!"q"!)`

= `(9!)/(3!2!)`

= `(9xx8xx7xx6xx5xx4)/2`

= 30240

Concept: Concept of Permutations - Permutations When All Objects Are Distinct
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.4 | Q 1. (iii) | Page 82
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