Verified Solution • 2025–26 Session moderate

QJEEM16Ma20aa: JEE Main 2016 Mathematics - Class 11 JEEM16Ma20aa Solution: If all the words (with or without meaning) having five…

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 :

Multiple Choice Options

  • A 46th{46^{th}}
  • B 59th{59^{th}}
  • C 52nd{52^{nd}}
  • D 58th{58^{th}}

Step-by-Step Verified Solution

Clearly, number of words start with A=4!2!=12A = {{4!} \over {2!}} = 12

Number of words start with L=4!=24L = 4! = 24

Number of words start with M=4!2!=12M = {{4!} \over {2!}} = 12

Number of words start with SA=3!2!=3SA = {{3!} \over {2!}} = 3

Number of words start with SL=3!=6SL = 3! = 6

Note that, next word will be "SMALL"

Hence, the position of word "SMALL" is 58th.

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring