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How Many Permutations Can Be Formed by the Letters of the Word, 'Vowels', Wheneach Word Begins with O and Ends with L? - Mathematics

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

each word begins with O and ends with L?

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Solution

If we fix the first letter as O and the last letter as L, the remaining 4 letters can be arranged in 4! ways to form the words.
∴  Number of words that start with O and end with L = 4! = 24

Concept: Factorial N (N!) Permutations and Combinations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.4 | Q 7.3 | Page 37
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