Latest CSC Aptitude Question SOLUTION: 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 E. None of these

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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?

A. 120 B. 720
C. 4320 D. 2160
E. None of these

Asked In CSC (12 years ago)

Solved viswamraju Read Solution (3)

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Read Solution (3) :

viswamraju  (12 years ago)

treat oia as 1 unit remaining 4 letters are there.these 5 units can be arranged in 5!=120 ways.after that 3 vowels can be arranged in 3! =6 ways.totally 120*6=720 ways.answer is b.

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mahesh kumar  (9 years ago)

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. B is the ans

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moddu sridhar  (8 years ago)

(oia)cplt =3!*5!=720

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