Let $A = \{1, 2, 3, 4, 5\}; B = \{2, 3, 6, 7\}$. Then the number of elements in $(A × B) \cap (B × A)$ is

If the set $A$ has $p$ elements, $B$  has $q$ elements, then the number of elements in $A × B$ is

If two sets $A$ and $B$ are having $99$ elements in common, then the number of elements common to each of the sets $A \times B$ and $B \times A$ are

Let $A=\{1,2\}, B=\{1,2,3,4\}, C=\{5,6\}$ and $D=\{5,6,7,8\} .$ Verify that

$A \times C$ is a subset of $B \times D$

If $A \times B=\{(a, x),(a, y),(b, x),(b, y)\} .$ Find $A$ and $B$

Let $A=\{1,2,3\}, B=\{3,4\}$ and $C=\{4,5,6\} .$ Find

$(A \times B) \cap(A \times C)$