JEE Main 2024MathematicsSets and RelationsEasyNumerical

JEE Main 2024 — Sets and Relations Question with Solution

JEE Main 2024 (30 Jan Shift 2)

Question

The number of symmetric relations defined on the set {1,2,3,4} which are not reflexive is _______.

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Show full solutionCorrect answer: 960
Correct answer
960

Step-by-step explanation

We know that,

Total number of relation both symmetric and reflexive =2n2-n2, where n is number of elements in given set,

Also, total number of symmetric relation =2n2+n2

Then number of symmetric relation which are not reflexive will be,

=2n(n+1)2-2n(n-1)2

=210-26

=1024-64

=960

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About this question

This is a previous-year question from JEE Main 2024, covering the Sets and Relations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.