Let $A=\{2,3,6,7\}$ and $B=\{4,5,6,8\}$. Let $R$ be a relation defined on $A imes B$ by $\left(a_1, b_1 ight) R\left(a_2, b_2 ight)$ if and only if $a_1+a_2=b_1+b_2$. Then the number of elements in $R$ is _________

Question

Let $A=\{2,3,6,7\}$ and $B=\{4,5,6,8\}$. Let $R$ be a relation defined on $A 	imes B$ by $\left(a_1, b_1ight) R\left(a_2, b_2ight)$ if and only if $a_1+a_2=b_1+b_2$. Then the number of elements in $R$ is _________

Aicharya · Accepted Answer

$\begin{aligned} & A=\{2,3,6,7\} \ & B=\{2,5,6,8\} \ & \left(a_1, b_1ight) R\left(a_2, b_2ight) \ & a_1+a_2=b_1+b_2\end{aligned}$ Total 24 + 1 = 25

Let $A=\{2,3,6,7\}$ and $B=\{4,5,6,8\}$. Let $R$ be a relation defined on $A \times B$ by $\left(a_1,…

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