Question

If the letters of the word RACHIT are arranged in all possible ways as listed in dictionary. Then what is the rank of the word RACHIT ?

Answer 1

The alphabetical order of the letters of the word RACHIT is: A, C, H, I, R, T. Number of

words beginning with A = 5!

Number of words beginning with C = 5!

Number of words beginning with H = 5!

Number of words beginning with 1 = 5!

Clearly, the first word beginning with R is RACHIT.

.'. Rank of the word RACHIT in dictionary = 4×5! + 1= 4 x 120 + 1= 481