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Question

Mathematics Question on permutations and combinations

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

602602

B

603603

C

600600

D

601601

Answer

601601

Explanation

Solution

In SACHIN order of alphabets is A,C,H,I,N,S. Number of words start with A=5!A = 5!, so with C, H, I, N, Now words start with S, and after that ACHIN are in ascending orders of position so 551=6005-51=600 words are in dictionary before words with S start and position of this word is 601.