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Write the Number of Arrangements of the Letters of the Word Banana in Which Two N'S Come Together. - Mathematics

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Write the number of arrangements of the letters of the word BANANA in which two N's come together.

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Solution

The word BANANA consists of 6 letters including three As and two Ns.
Considering both Ns together or as a single letter, we are left with 5 letters including three As.
∴ Number of arrangements of 5 things in which 3 are similar to one kind =\[\frac{5!}{3!}\]= 20

Concept: Permutations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 5 | Page 45

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