Question

Let the number of elements of the sets $A$ and $B$ be $p$ and $q$ respectively. Then, the number of relations from the set $A$ to the set $B$ is

• A. $2^{p+q}$
• B. $2^{pq}$
• C. $p+q$
• D. $pq$

Answer 1

The correct option is B $2^{pq}$

Given, number of elements of $A$ and $B$ are $p$ and $q$ respectively.
$\therefore$ The number of relations from the set $A$ to the set $B$ is $2^{pq}$.