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Sets and Relations question

2023 · 11 Apr · Shift 2 · Q28

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2023 · 11 Apr · Shift 2 · Q28

Sets and Relations question

2023 · 11 Apr · Shift 2 · Q28

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Let

\mathrm{A}=\{1,3,4,6,9\}

and

\mathrm{B}=\{2,4,5,8,10\}

. Let

\mathrm{R}

be a relation defined on

\mathrm{A} \times \mathrm{B}

such that

\mathrm{R}=\left\{\left(\left(a_{1}, b_{1}\right),\left(a_{2}, b_{2}\right)\right): a_{1} \leq b_{2}\right.

and

\left.b_{1} \leq a_{2}\right\}

. Then the number of elements in the set R is :

A
180
B
26
C
52
D
160

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