The letters of the word 'article' are arranged at random. Find the probability that the vowels may occupy the even places.
A. 2/35
B. 1/35
C. 3/36
D. 1/165
Answer: Option B
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Total no of word that can be formed from the letters of the word 'ARTICLE'=7!=7*6*5*4*3*2*1
Total no of even places=3
Total no of vowels=3
Total no of consonants=4
Total no of word having vowels at even places=3!*4!
So, probability=Word having vowels at even places / Total no of words
=(3!*4!)/(7!)
=(3*2*1*4*3*2*1) / (7*6*5*4*3*2*1)
=1 / 35
So, Option (B) is correct
Correct Answer = B (1/35)