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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
Options
574
36
754
144
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Solution
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! x 4! = 144
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