English

Find the Number of Words Formed by Permuting All the Letters of the Following Words:Series

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Question

Find the number of words formed by permuting all the letters of the following words:
SERIES

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Solution

This word consists of 6 letters that include two Ss and two Es.
The total number of words is the number of arrangements of 6 things, of which 2 are similar to one kind and 2 are similar to the second kind.
⇒\[\frac{6!}{2!2!}\]= 180

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Factorial N (N!) Permutations and Combinations
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Chapter 16: Permutations - Exercise 16.5 [Page 42]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.5 | Q 1.7 | Page 42

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