Question

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. $576$

Answer 1

The correct option is D $576$

Vowels are O.I.E. {In the required word}
No. of odd place $=4$
$\therefore$ No. of ways $={}^4{P}_3\times 4!=576$