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Mathematics - Sets and Relations Question with Solution | TestHub

MathematicsSets and RelationsQuestions on number of relations and setsMedium2 minQB
MathematicsMediuminteger

LetAandBbe two sets containing2elements and4elements respectively. The number of subsets ofA×Bhaving3or more elements is :

Answer:
219
Solution:

AsnA=2andnB=4

HencenA×B=8

Now subsets ofA×Bcontaining3or more elements will be
=Total-(no element-one element-2elements)

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

Stream:JEESubject:MathematicsTopic:Sets and RelationsSubtopic:Questions on number of relations and sets
2mℹ️ Source: QB

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