CSC
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Numerical Ability
Permutation and Combination
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
A. 360 B. 480
C. 720 D. 5040
E. None of these
Read Solution (Total 4)
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- C. 720
Considering vowels as a single entity, we have 5 (distinct) entities... So 5! permutations are there... In each of them, there are 3! different permutations possible (within the vowels)...
So, total arrangements = 5! * 3! = 720 - 12 years agoHelpfull: Yes(14) No(0)
- C.720
Arrange the words as (EAI)LDNG, considering the vowels letters as a word. Then we have 5words and so 5!. Then the bracketed 3 vowels can also be arranged in 3! ways. Hence 5!*3!=720. - 12 years agoHelpfull: Yes(3) No(1)
- ans:720
(LNDG) (EAI)
5!*3! = 720 - 12 years agoHelpfull: Yes(1) No(0)
- 5! multiplied by 3! = (120)*(6)=720
- 10 years agoHelpfull: Yes(1) No(0)
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