Mathematics - Permutation & Combination Question with Solution | TestHub

$SMALL$
Total number of words formed would be$\frac{\mathrm{5!}}{\mathrm{2!}}=60$
When arranged as per dictionary. The words starting from$A$

$A- - - -\frac{\mathrm{4!}}{\mathrm{2!}}=12$

The words starting from$L$

$L- - - - = \mathrm{4!}=24$

The words starting from$M$

$M- - - - =\frac{\mathrm{4!}}{\mathrm{2!}}=12$

The words starting from$S$

$S A- - - =\frac{\mathrm{3!}}{\mathrm{2!}}=3$

$S L- - - \mathrm{3!}=6$
$S M A L L =1$
$\therefore$Rank would be$12 + 24 + 12 + 3 + 6 + 1 = 58$