JEE Advanced Mathematics question

The number of ways in which the letters of the word ARTICLE can be rearranged so that the even places are always occupied by consonants is

(A)576Correct
(B)
(C)
(D)none of these

Answer: (A)

Solution

ARTICLE has 7 distinct letters: vowels A, I, E and consonants R, T, C, L. The even places are 2nd, 4th, 6th (three places). Fill them with consonants: ways. The remaining

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Question ID VK-108202