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 ${17}^{th}$

solution-

Rank of QUEOE in dictionary.

letters with E at starting $=\frac{4!}{2!}=12.$

Letters with Q at starting

and E at second position $=\frac{3!}{2!}=3$

Letters with Q followed by

U followed by E - 2! = 2.

First word is QUEEU

Second word is QUEUE

Rank $=12+3+2={17}^{th}.$

C is correct.