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+1 vote
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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?

1 Answer

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Best answer

Given as

The word ‘MUMBAI’

Here's 6 letters in the word ‘MUMBAI’ out of which 2 are M’s and the rest all are distinct.

Therefore let us consider both M’s together as one letter, the remaining 5 letters can be arranged in 5! Ways.

The total number of arrangements = 5!

= 5 × 4 × 3 × 2 × 1

= 120

Thus, a total number of words formed during the arrangement of letters of word MUMBAI such that all M’s remains together equals to 120.

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