Question

If all the words (with or with out meaning) having five letter, 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

The correct option is D ${58}^{th}$

$ALLMS$

$A\left(LLMS\right)\to \frac{4!}{2!}=\frac{24}{2}=12$

$L\left(ALMS\right)\to 4!=24$

$M\left(ALLS\right)\to \frac{4!}{2!}=12$

$SA\left(MLL\right)\to \frac{3!}{2!}=3$

$SL\left(ALM\right)\to 3!=6$

Total Words = $12+24+12+3+6=57$

Small - ${58}^{th}$

The position of the word SMALL is ${58}^{th}$.