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

Sum

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

REPRESENT

#### Solution

There are 9 letters in the word REPRESENT in which ‘E’ is repeated 3 times and ‘R’ is repeated 2 times.

∴ Number of permutations of the letters of the word REPRESENT = (9!)/(3!2!)

= (9 xx 8 xx 7 xx 6 xx 5 xx 4)/2

= 30240

Concept: Concept of Permutations - Permutations When Some Objects Are Identical
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.4 | Q 1. (iii) | Page 57