Q. The number of permutations by taking all letters and keeping the vowels of the word COMBINE in the odd places is
A) 96
B) 144
C) 512
D) 576
Explanation
(d)
The vowels in the word “COMBINE” are O, I, E which can be arranged at 4 places in $\ ^{4}P_{3}$ ways and other words can be arranged in $4!$ ways
Hence, total number of ways$= \ ^{4}P_{3} \times 4!$
$= 4! \times 4!$
$= 576$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.