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

Sum

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

COMBINE

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Solution

In the word 'COMBINE', the number of letters is n = 7, which are all distinct.

∴ the number of permutations of the letters

= nPn

= 7P7

= 7!

= 7 × 6 × 5 × 4 × 3 × 2 × 1

= 5040.

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. (iv) | Page 57
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