Question

If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the rank of SACHIN is

• A. 601
• B. 600
• C. 603
• D. 602

Answer 1

Answer: (A)

In SACHIN order of alphabets are $A,C,H,I,N,S$ . Number of words start with $A=5!$ Number of words start with $C=5!,$ Start with $H=5!,$ start with $I=5!,$ start with $N=5!$
Now, SACHIN is the first word start with S.
$\therefore$ Rank of SACHIN is $5\times 5!+1=600+1=601$