Question

All the six letters of the name SACHIN are arranged to fro, different words repeating any letter in any one word. The words so formed are then arranged as in a dictionary. What will be the Position of the world SACHIN in that sequence ?

• A. 436
• B. 590
• C. 601
• D. 751

Answer 1

The correct option is C 601

In $SACHIN$

$S$ is fixed since it is the starting letter

No. of words that start with $A$

$=A----$
$=5\times 4\times 3\times 2\times 1$
$=5!$

$=120$

No. of words starting with C

$=C----$
$=5!$
$=120$

Similarly, no. of words starting from $H,I,N$ will be $120$

$\therefore$ Total No. of words$=120+120+120+120+120=600$

Since $SACHIN$ will be ranked after $600$ words, therefore it's rank will be ${601}^{th}$.

Option [c].