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  4. 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

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Q. 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

Rajasthan PETRajasthan PET 2007

Solution:

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 $