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Question
Find the number of permutations of letters in the following word:
COMBINE
Sum
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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.
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Chapter 3: Permutations and Combination - Exercise 3.4 [Page 57]
