मराठी

Find the number of arrangements of letters in the word MUMBAI so that the letter B is always next to A. - Mathematics and Statistics

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प्रश्न

Find the number of arrangements of letters in the word MUMBAI so that the letter B is always next to A.

बेरीज
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उत्तर

There are 6 letters in the word MUMBAI.
These letters are to be arranged in such a way that B is always next to A.
Let us consider the AB as one unit. This unit with the other 4 letters in which M repeats twice, is to be arranged.
∴ Total number of arrangements when B is always next to A.
= `(5!)/(2!)`

= `(5 xx 4 xx 3 xx 2!)/(2!)`
= 60

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पाठ 6: Permutations and Combinations - Exercise 6.4 [पृष्ठ ८३]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 6 Permutations and Combinations
Exercise 6.4 | Q 8 | पृष्ठ ८३
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