If the letters of word SACHIN are arranged in all possible ways and these words are written out as in…

If the letters of 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
  1. 601
  2. 600
  3. 603
  4. 602

Solution

Alphabetical order is A, C, H, I, N, S No. of words starting with $A-5$ ! No. of words starting with $C-5$ ! No. of words starting with $\mathrm{H}-5$ ! No. of words starting with I $-5$ ! No. of words starting with $N-5$ ! $\mathrm{SACHIN}-1$ $601$

Asked in: JEE Main 2005

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