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?
[Hint: In each case number of words beginning with A, C, H, I is 5!]
Solution:
According to the question,
Arranging in alphabetical order, we get,
A C H I R T
Number of words that can start with A=5!
Number of words that can start with C=5!
Number of words that can start with H=5!
Number of words that can start with I=5!
Total = 5! +5!+5!+5!
= 120+120+120+120=480
Since, the word that can start with R is RACHIT
Number of words that can start with R = 1
Hence, we obtain that,
The rank of the word RACHIT = 480+1=481