Question

If $A=\{2,3\}$ and $B=\{1,2,3,4\}$, then which of the following is not a subset of $A\times B$

• A. $\left\{\right(2,3),(2,4),(3,3),(3,4\left)\right\}$
• B. $\left\{\right(2,2),(3,1),(3,4),(2,3\left)\right\}$
• C. $\left\{\right(2,1),(3,2\left)\right\}$
• D. $\left\{\right(1,2),(2,3\left)\right\}$

Answer 1

The correct option is D $\left\{\right(1,2),(2,3\left)\right\}$

Given $A=\{2,3\}$ and $B=\{1,2,3,4\}$
$\therefore A\times B=\left\{\right(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4\left)\right\}$

$\therefore$ options A,B,C are the subsets of the $A\times B$ except option D.