In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

A    120

B    720

C    4320

D    2160

Solution

Correct Answer: Option B

 

The word 'OPTICAL' contains 7 different letters.

When the vowels OIA are always together, they can be supposed to form one letter.

Then, we have to arrange the letters PTCL (OIA).

Now, 5 letters can be arranged in 5! = 120 ways.

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

Required number of ways = (120 x 6) = 720.

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