Question

The number of words that can be formed using all the letters of the word "KANPUR" when the vowels are in even places is

• A. $144$
• B. $36$
• C. $24$
• D. $48$

Answer 1

The correct option is A $144$

KANPUR

Vowels $=$ A, U $\left(2\right)$
Consonants $=$ K, N, P, R $\left(4\right)$
$\to$ Since there are two vowels, they occupy the
(a) $2^{nd}$ and $4^{th}$ place
(u) $2^{nd}$ and $6^{th}$ place
(c) $4^{th}$ and $6^{th}$ place
So, $C_{\left(a\right)}=2!4!$
$C_{\left(u\right)}=2!4!$
$C_{\left(c\right)}=2!4!$
Total $=3\times 2\times 4!$
$=6\times 24=144$