Question

The number of arrangements of the letters of the word ‘NAVA NAVA LAVANYAM’ which begin with N and end with M is :

• A. $\frac{\angle 16}{\angle (\angle 3{)}^2}$
• B. $\frac{\angle 16}{\angle 7\angle 3}$
• C. $\frac{\angle 14}{\angle 7\angle 3\angle 2}$
• D. $\frac{\angle 14}{\angle 7\angle 3}$

Answer 1

The correct option is C

$\frac{\angle 14}{\angle 7\angle 3\angle 2}$

The word NAVA NAVA LAVANYAM consists of 16 letters out of which there are 7A’s, 3V’s, 3N’s, and the other 3 are distinct put one N in the first place and M in the last place. In the remaining 14 letters there 7A’s, 3V’s and 2N’s.
$\therefore$ No. of arrangements $=\frac{\angle 14}{\angle 7\angle 3\angle 2}$