If the letters of the word 'SACHIN' arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number 

detailed solution

Correct option is D

ln a dictionary the words at each stage are arranged in alphabetical order. We must therefore consider the words beginning with A, C, H, I, N, Sin order. A will occur at first place as often as there are ways of arranging the remaining 5 letters all at a time i.e. A will occur at first place F times. Thus,Number of words starting with A=5!5irnilarly, N umber of words starting wi the C=5!Number of words starting with H=5!Number of words starting with I=5!Number of words starting with N=5!SCHIN appears in the list of words beginning with S. Cearly, itis the first word in the list of words beginning with S.SACHIN appears at serial number(5! + 5! + .5! + 5! + 5! + 1) = 601