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  • In how many different ways can the letters of the word 'MIRACLE' be arranged in such a way that the vowels always come together?Option: 1</stro

In how many different ways can the letters of the word 'MIRACLE' be arranged in such a way that the vowels always come together?

Option: 1

400


Option: 2

320


Option: 3

120


Option: 4

720


Answers (1)

best_answer

The word 'MIRACLE' has 7 different letters.

Considering the vowels EAI are always together, they can be supposed to form one letter.

Then, we have to arrange the letters MRCL(EAI).

Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.

The vowels (EAI) can be arranged among themselves in 3! = 6 ways.

Therefore, the required number of ways is   \mathrm{120\times 6=720\ ways.}

 

Posted by

Gautam harsolia

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