Q. The number of words that can be formed out of the letters of the words ‘ARTICE’ so that the vowels occupy even places, is
A) 574
B) 36
C) 754
D) 144
Explanation
(d)
The word ‘ARTICLE’ has 3 vowels and 4 consonants and according to problem we have to put the 3 vowels on 3 even places and 4 consonants in the remaining places.
$\therefore$ The required number of ways
$= 3! \times 4! = 6 \times 24 = 144$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.