Question

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. $602$
• B. $603$
• C. $600$
• D. $601$

Answer 1

The correct option is D $601$

In a word $SACHIN$ 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 positions, so $5\cdot 5!=600$ words are in dictionary before words start with $S$ and position of this word is $601$.