Question

Find the rank of the word ${}^{\prime }VIOLENC{E}^{\prime }$ when all the words that are formed by permuting the letters of the given word are arranged opposite to the alphabetic order

• A. $1205$
• B. $1000$
• C. $1097$
• D. $925$

Answer 1

The correct option is C $1097$

The words are arranged in reverse alphabetical order, so words starting with $v$ will be first.

The letters of the given word in reverse order are $VONLIEEC$

Words starting with-

$\Rightarrow VO......=\frac{6!}{2!}$

$\Rightarrow VN......=\frac{6!}{2!}$

$\Rightarrow VL......=\frac{6!}{2!}$

$\Rightarrow VION......=\frac{4!}{2!}$

$\Rightarrow VIOLN......=\frac{3!}{2!}$

$\Rightarrow VIOLENE=1$

$\Rightarrow VIOLENCE=1$

$\Rightarrow$ Total $=3\times \frac{6!}{2!}+\frac{4!}{2!}+\frac{3!}{2!}=1+1$

$\Rightarrow$ Rank $=1097$

Hence, the answer is $1097.$