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How Many Words Can Be Formed by Arranging the Letters of the Word 'Mumbai' So that All M'S Come Together?

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प्रश्न

How many words can be formed by arranging the letters of the word 'MUMBAI' so that all M's come together?

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उत्तर

The word MUMBAI consists of 6 letters taht include two Ms.
When we consider both the Ms as a single entity, we are left with 5 entities that can be arranged in 5! ways.
Total number of words that can be formed with all the Ms together = 5! = 120

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Factorial N (N!) Permutations and Combinations
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अध्याय 16: Permutations - Exercise 16.5 [पृष्ठ ४३]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.5 | Q 6 | पृष्ठ ४३

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