Question

If $A=\{2,3\}$ and $B=\{1,2\}$, then $A\times B$ is equal to

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

Answer 1

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

If $A$ and $B$ are any two non-empty sets.
then $A\times B$$=\left\{\right(x,y):x\in Aandy\in B\}$
As $A=\{2,3\}$ and $B=\{1,2\}$
$A\times B$$=\left\{\right(2,1),(2,2),(3,1),(3,2\left)\right\}$
Hence, option A.