Question

If the letters of the word ${}^{\prime }VARU{N}^{\prime }$ are written in all possible ways and then are arranged as in a dictionary then the rank of the word ${}^{\prime }VARU{N}^{\prime }$ is

• A. $98$
• B. $99$
• C. $100$
• D. $101$

Answer 1

The correct option is C $100$

There are $5$ letter order $A;N;R;U;V$

$A=4!=24$

[ because after a there are more $4$ letters so $4!$]

$N=4!=24$

$R=4!=24$

$U=4!=24$

$VAN=2!=2$

$VAR\to NU=1!$

$VAR\to UN=1!$

$\therefore 100$

$\therefore$ The Rank of $VARUN=100$