Question

If $A=\{a,b,c\}$ and $B=\{1,2,3,4\},$ then the number of elements in the power set of $A\times B$ is

• A. $2^{12}$
• B. $2^7$
• C. $2^3$
• D. $2^4$

Answer 1

The correct option is A $2^{12}$

$n(A\times B)=3\times 4=12$
$\Rightarrow n\left(P\right(A\times B\left)\right)=2^{n(A\times B)}=2^{12}$