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:
a) 601
b) 600
c) 603
d) 602
Answer: a
Explanation: If the word started with the letter A then the remaining 5 positions can be filled in 5! Ways.
If it started with c then the remaining 5 positions can be filled in 5! Ways.
Similarly if it started with H, I, N the remaining 5 positions can be filled in 5! Ways.
If it started with S then the remaining position can be filled with A, C, H, I, N in alphabetical order as on dictionary.
The required word SACHIN can be obtained after the 5 × 5! = 600 Ways.
i.e. SACHIN is the 601th word.
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