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Question

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


A

574

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B

754

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C

36

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D

144

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Solution

The correct option is D

144


The word ARTICLE consists of 3 vowels that have to be arranged in the three even places. This can be done in 3! ways.

And, the remaining 4 consonants can be arranged among themselves in 4! ways.

Total number of ways = 3!×4!=144


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