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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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प्रश्न

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

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उत्तर

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

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अध्याय 16: Permutations - Exercise 16.6 [पृष्ठ ४५]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.6 | Q 5 | पृष्ठ ४५

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