If all the words (with or without meaning) having five letters, formed using the letter of the word "SMALL" and arranged as in a dictionary; Then find the position of the word SMALL.
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Starting with A , there are 4 ! = 2 4 possible words. But 1 2 are repeated twice(because of 2 L's) so there are 1 2 words staring with A .
Starting with L . there are 4 ! = 2 4 possible words and none repeats.
Staring with M , there are same number of words as A which is 1 2 .
Now Starting with S
There are 3 words with second letter A .
There are 6 words with second letter L .
The word S M A L L is the next words after this.
There have been 2 4 + 1 2 + 1 2 + 3 + 6 = 5 7 till now.
Thus S M A L L is the 5 8 t h word.