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

Engineering

Mathematics

Permutation and Combination Basic Definitions

Question

59^th

46^th

58^th

52^nd

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SMALL

A _ _ _ _ = $\frac{4!}{2!}$ = 12

L _ _ _ _ = 4! = 24

M _ _ _ _ = $\frac{4!}{2!}$ =12

S A _ _ _ = $\frac{3!}{2!}$ = 3

S L _ _ _ = 3! = 6

S M A L L = 1

———

58^th.

Hence, rank of word small is 58.