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

Number of words beginning with A = 4! = 4 × 3 × 2 = 24

Number of words beginning with N = 4! = 4 × 3 × 2 = 24

Number of words beginning with R = 4! = 4 × 3 × 2 = 24

Number of words beginning with U = 4! = 4 × 3 × 2 = 24

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

Now, 97th word according to dictionary order will be VANRU

Now, 98th word according to dictionary order will be VANUR

Now, 99th word according to dictionary order will be VARNU

Finally, 100th word according to dictionary order will be VARUN.

Hence, option (c) is the correct answer.

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