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

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Question

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

Sum

Solution

There are 7 distinct letters in the word COMBINE which can be arranged among themselves in
= n!
= 7!
= 7 × 6 × 5 × 4 × 3 × 2 × 1
= 5040 ways

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Permutations - Permutations When All Objects Are Distinct
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Chapter 6: Permutations and Combinations - Exercise 6.4 [Page 82]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.4 | Q 1. (iv) | Page 82

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