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 work $QUEUE$ is -

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

Answer 1

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

no of words starting with E:

$\frac{4!}{2!}=12$

no. of words starting with QE:

$\frac{3!}{2!}=3$

no. of words = $12+3=15$

16th word = QUEEN

17th word = QUEUE

$\therefore$ rank of QUEUE = $17$