Let A=\1,3,4,6,9 and B=\2,4,5,8,10. Let R be a relation defined on A × B such that R=\((a₁, b₁),(a₂, b₂)): a₁ ≤ b₂. and.b₁ ≤ a₂. Then the number of elements in the set R is:

Sets, Relations and Functions: JEE Main 2023 Mathematics question

JEE Main 2023 · 11 Apr, Evening shift · Q5363

JEE Main 202311 Apr, Evening shiftMathematicsHardSets, Relations and Functions168× since 2002

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 :