If the set $A$ has $p$ elements, $B$ has $q$ elements, then the number of elements in $A × B$ is
$p + q$
$p + q + 1$
$pq$
${p^2}$
$A = \{1,2,3,4......100\}, B = \{51,52,53,...,180\}$, then number of elements in $(A \times B) \cap (B \times A)$ is
If $R$ is the set of all real numbers, what do the cartesian products $R \times R$ and $R \times R \times R$ represent?
If $P=\{1,2\},$ form the set $P \times P \times P$
If $A \times B =\{(p, q),(p, r),(m, q),(m, r)\},$ find $A$ and $B$
State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.
If $A$ and $B$ are non-empty sets, then $A \times B$ is a non-empty set of ordered pairs $(x, y)$ such that $x \in A$ and $y \in B.$