$A=\left\{a,b\right\},\ B=\left\{2,3\right\}$এবং$C=\left\{3,4\right\}$হলে$\left(A\times B\right)\cap\left(A\times C\right)$এর মান কোনটি?

$A\times B=\left\{\left(a,2\right),\left(a,3\right),\left(b,2\right),\left(b,3\right)\right\}$

$A\times C=\left\{\left(a,3\right),\left(a,4\right),\left(b,3\right),\left(b,4\right)\right\}$

$\therefore\left(A\times B\right)\cap\left(A\times C\right)=\left\{\left(a,3\right),\left(b,3\right)\right\}$