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How Many Permutations Can Be Formed by the Letters of the Word, 'Vowels', Whenthere is No Restriction on Letters? - Mathematics

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Question

How many permutations can be formed by the letters of the word, 'VOWELS', when

there is no restriction on letters?

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Solution

The word VOWELS consists of 6 distinct letters that can be arranged amongst themselves in 6! ways.
∴ Number of words that can be formed with the letters of the word VOWELS, without any restriction = 6! = 720

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Factorial N (N!) Permutations and Combinations
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Chapter 16: Permutations - Exercise 16.4 [Page 37]

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RD Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.4 | Q 7.1 | Page 37

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