Question

In how many different ways can the letters of the word ${}^{\prime }DETAI{L}^{\prime }$ be arranged in such a way that the vowels occupy only the even positions?

• A. $32$
• B. $48$
• C. $36$
• D. $40$

Answer 1

The correct option is C $36$

$DETAIL$

Vowels occupy at odd place _ _ _ _ _ _

Odd places are occupied by vowels and even places are occupied by consonants. They can be arranged among themselves.

$=3!\times 3!$

$=36$