English

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

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Question

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

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Solution

This word consists of 7 letters that include two Rs, and two As.
The total number of words is the number of arrangements of 7 things, of which 2 are similar to one kind and 2 are similar to the second kind.
⇒\[\frac{7!}{2!2!}\]= 1260

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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 1.3 | Page 42

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