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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.^4C_4 \times ^3C_3

 

Answers (1)

The answer is the option (b)

Vowels in ARTICLE are A,I,E and consonants are R,T,C,L . Vowels occupy 3 even places in 3! Ways and in remaining 4 places 4 consonants can be arranged in 4! Ways

Total number of words = 3!* 4! =6*24 =144

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