JEE Main Mathematics question

The number of words that can be formed out of the letters of the words 'ARTICLE' so that the vowels occupy even places, is

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

ARTICLE has letters: vowels and consonants ; the even places are , exactly three. The three vowels can be placed in the even places in ways. The four consonants fill the remaining four places in

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Question ID VK-020483