CSC
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Numerical Ability
Permutation and Combination
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
Read Solution (Total 3)
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- 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.
- 12 years agoHelpfull: Yes(11) No(3)
- 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 - 10 years agoHelpfull: Yes(5) No(2)
- (oia)cplt =3!*5!=720
- 8 years agoHelpfull: Yes(2) No(0)
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