QA – Placement Quizzes | Permutation and Combination | Question 13

In how many ways can the alphabets of the word ‘DERAIL’ be arranged so that the vowels come at the odd positions only?

(A) 12
(B) 18
(C) 24
(D) 36


Answer: (D)

Explanation: There are 3 consonants (D,R,L) and 3 vowels (E,A,I).
There are 3 odd positions and 3 even positions: O E O E O E.
Therefore, required number of arrangements = ³P₃ * ³P₃ = 6 * 6 = 36.


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