Question

If all the words (with or without meaning) having five letters, formed using the letters of the word $SMALL$ and arranged as in a dictionary; then the position of the word $SMALL$ is:

• A. $46^{th}$
• B. $59^{th}$
• C. $52^{th}$
• D. $58^{th}$

Answer 1

Answer: (D)

$ALLMSA(LLMS)\to \frac{4!}{2!}=\frac{24}{2}=12$
$L(ALMS)\to 4!=24$
$M(ALLS)\to \frac{4!}{2!}=\frac{24}{2}=12$
$SA(MLL)\to \frac{3!}{2!}=3$
$SL(ALM)\to 3!=6$
Total words $=12+24+12+3+6=57$
$SMALL58^{th}$
$\therefore$ the position of the word $SMALL$ is $58^{th}$