If all the words (with or without meaning) having five letters, formed using the letters of the word S M A L…

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 
  1. 52nd
  2. 58th
  3. 46th
  4. 59th

Solution

SMALL
Total number of words formed would be 5!2!=60
When arranged as per dictionary. The words starting from A

A- - - -4!2!=12

The words starting from L

L- - - - = 4!=24

The words starting from M

M- - - - =4!2!=12

The words starting from S

S A- - - =3!2!=3

S L- - - 3!=6
S M A L L =1
∴ Rank would be 12 + 24 + 12 + 3 + 6 + 1 = 58

Asked in: JEE Main 2016 (03 Apr)

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