JEE Main 2013MathematicsSets and RelationsMediumMCQ

JEE Main 2013Sets and Relations Question with Solution

JEE Main 2013 (07 Apr)

Question

Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of A×B having 3 or more elements is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A219

Step-by-step explanation

As nA=2 and nB=4

Hence nA×B=8

Now subsets of A×B containing 3 or more elements will be
=Total - (no element - one element -2 elements)

=28-8C0-8C1-8C2=219

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About this question

This is a previous-year question from JEE Main 2013, 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.