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