## Quantitative Aptitude

### Permutation, Combination & Probability

Question
20 out of 20

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

 A 32 B 48 C 36 D 60 E 120

Ans. C D E T A I L

There are three vowel it will be filled on 1st , 3rd and 5th place. So possible permutation be 3! = 6

Rest digit be filled on 2nd, 4th and 6th place

Total permutation be 3! = 6

Total permutation be 6 x 6 = 36