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

The Correct Option is D

$A LL MS A (LL MS) \rightarrow \frac{4 !}{2 !}=\frac{24}{2}=12$
$L ( AL MS ) \rightarrow 4 !=24$
$M (ALLS) \rightarrow \frac{4 !}{2 !}=\frac{24}{2}=12$
$SA ( MLL ) \rightarrow \frac{3 !}{2 !}=3$
$SL ( ALM ) \rightarrow 3 !=6$
Total words $=12+24+12+3+6=57$
$SMALL \,\,\,\,\,58^{t h}$
$\therefore$ the position of the word $SMALL$ is $58^{t h}$