46th
59th
58th
52nd
Position of SMALL in a dictionary :
Let us fix A in the first position.Then, A _ _ _ _
At the 4 places we want to arrange L,L,M and S which can be done in 4!/2! = 12 ways. (since 2 Ls are there)
Let us fix L in the first position.Then, L _ _ _ _
At the 4 places we want to arrange L,A,M and S which can be done in 4! = 24 ways.
Let us fix M in the first position.Then, M _ _ _ _
At the 4 places we want to arrange L,L,A and S which can be done in 4!/2! = 12 ways. (since 2 Ls are there)
Let us fix S in the first position and A in second position.Then, S A _ _ _
At the 3 places we want to arrange L,L and M which can be done in 3!/2! = 3 ways.
Let us fix S in the first position and L in second position.Then, S L _ _ _
At the 3 places we want to arrange L,A and M which can be done in 3! = 6 ways.
Let us fix M in second position.Then, S M _ _ _
There arranging in alphabetical order, the next word is
S M A L L
Position = 12 + 24 + 12 + 3 + 6 + 1 = 58th