Maharashtra State BoardHSC Science (Electronics) 11th
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Find the number of permutations of letters in the following word: BALBHARATI - Mathematics and Statistics

Sum

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

BALBHARATI

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Solution

There are 10 letters in the word BALBHARATI in which ‘B’ is repeated 2 times and ‘A’ is repeated 3 times.

∴ Number of permutations of the letters of the word BALBHARATI = `(10!)/(2!3!)`

= `(10 xx 9 xx 8 xx 7 xx 6 xx 5 xx 4 xx 3 xx 2 xx 1)/(2 xx 3 xx 2)`

= 302400.

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. (v) | Page 57
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