If the set $A$ has $p$ elements, $B$ has $q$ elements, then the number of elements in $A × B$ is
$p + q$
$p + q + 1$
$pq$
${p^2}$
Let $A, B, C$ are three sets such that $n(A \cap B) = n(B \cap C) = n(C \cap A) = n(A \cap B \cap C) = 2$, then $n((A × B) \cap (B × C)) $ is equal to -
Let $A=\{1,2,3\}, B=\{3,4\}$ and $C=\{4,5,6\} .$ Find
$A \times(B \cup C)$
Let $A=\{1,2,3\}, B=\{3,4\}$ and $C=\{4,5,6\} .$ Find
$A \times(B \cap C)$
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 $y \in B.$
If $A, B$ and $C$ are any three sets, then $A \times (B \cup C)$ is equal to