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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 word SACHIN appears at serial number:

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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 word SACHIN appears at serial number:

AIEEEAIEEE 2005Permutations and Combinations

Solution:

In SACHIN order of alphabets is A,C,H,I,N,S. Number of words start with $A = 5!$, so with C, H, I, N, Now words start with S, and after that ACHIN are in ascending orders of position so $5-51=600$ words are in dictionary before words with S start and position of this word is 601.