The number of words which can be formed out of the letters of the word

1.	The number of words which can be formed out of the letters of the word ARTICLE, so that vowels occupy the even place is(A) 1440 (B) 144(C) 7! (D) 4C4 × 3C3
Answer» Answer is (B) We have word ARTICLE. Vowels are A, I, E and consonants are R, T, C, L. Now vowels occupy three even places (2^nd , 4^th and 6^th ) in 3! ways. In remaining four places four consonants can be arranged in 4! ways. So, total number of words = 3! x4! = 6×24 = 144

The number of words which can be formed out of the letters of the word ARTICLE, so that vowels occupy the even place is(A) 1440 (B) 144(C) 7! (D) 4C4 × 3C3

Answer»

Answer is (B)

We have word ARTICLE.

Vowels are A, I, E and consonants are R, T, C, L.

Now vowels occupy three even places (2^nd , 4^th and 6^th ) in 3! ways.

In remaining four places four consonants can be arranged in 4! ways.

So, total number of words = 3! x4! = 6×24 = 144