Mathematics - Sets and Relations Question with Solution | TestHub

MathematicsSets and RelationsQuestions on number of relations and setsMedium2 minPYQ_2013

MathematicsMediumsingle choice

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

Options:

Answer:

Solution:

As $n (A) = 2$ and $n (B) = 4$

Hence $n (A \times B) = 8$

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

= $2^{8} -^{8} C_{0} -^{8} C_{1} -^{8} C_{2} = 219$

Stream:JEESubject:MathematicsTopic:Sets and RelationsSubtopic:Questions on number of relations and sets

⏱ 2mℹ️ Source: PYQ_2013

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