Question

Let $A=\{x,y,z\}$ and $B=\{1,2\}$. Find the number of relations from $A$ to $B$.

Answer 1

It is given that $A=\{x,y,z\}$ and $B=\{1,2\}$
$\therefore$ $A\times B=\left\{\right(x,1),(x,2),(y,1),(y,2),(z,1),(z,2\left)\right\}$
Since $n(A\times B)=6$

The number of subsets of $A\times B$ is $2^6$.