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How Many Words Can Be Formed from the Letters of the Word 'Series' Which Start with S and End with S?

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Question

How many words can be formed from the letters of the word 'SERIES' which start with S and end with S?

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Solution

The word SERIES consists of 6 letters including two Ss and two Es.
The first and the last letters are fixed as S.
Now, the remaining four letters can be arranged in\[\frac{4!}{2!}\]ways = 12

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Factorial N (N!) Permutations and Combinations
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Chapter 16: Permutations - Exercise 16.5 [Page 43]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.5 | Q 12 | Page 43

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