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

Question:

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

Solution:

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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