Question

If the letters of the word "VARUN" are written in all possible ways and then are arranged as in a dictionary, then the rank of the word VARUN is?

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

Answer 1

The correct option is C $100$

Given that, word ‘’VARUN’’.

Now,

Number of word beginning with A =$4\times 3\times 2=24$

Number of word beginning with N =$4\times 3\times 2=24$

Number of word beginning with R =$4\times 3\times 2=24$

Number of word beginning with U =$4\times 3\times 2=24$

So, in total $96$ word be formed while beginning with letter A,N,R and U.

Now, 96^th word according to dictionary order will be ‘’VARUN’’

Now, 97^th word according to dictionary order will be ‘’VARUN’’

Now, 98^th word according to dictionary order will be ‘’VARUN’’

Now, 99^th word according to dictionary order will be ‘’VARUN’’

Finally, 100^th word according to dictionary order will be ‘’VARUN’’

Hence, answer is $100$.