Question

If all letters of the word 'RANK' are arranged in all possible manner as they are in a dictionary, then find the rank of the word 'RANK'.

Answer 1

First word is A K N R
No. of words starting with A is $=3!$
No. of words starting with K is $=3!$
No. of words starting with N is $=3!$
Next word is RAKN and then RANK
Hence rank of 'RANK' is $=3.3!+2=20$