Question

If all the letters of the word $QUEUE$ are arranged in all possible manner as they are in a dictionary, then the rank of the word $QUEUE$ is

• A. ${15}^{th}$
• B. ${16}^{th}$
• C. ${17}^{th}$
• D. ${18}^{th}$

Answer 1

The correct option is C ${17}^{th}$

$EEQUU$

Words starting with $E\to \frac{4!}{2!}$

Words starting with $QE\to \frac{3!}{2!}$

Next word will be $QUEEU\to$ $1$

and finally $QUEUE\to$ $1$

Rank is $12+3+1+1={17}^{th}$