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

Correct Answer: 720

Explanation:

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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