If $A, B$ and $C$ are any three sets, then $A \times (B  \cup C)$ is equal to

$A = \{1, 2, 3\}$ and $B = \{3, 8\}$, then $(A \cup B) × (A \cap B)$ is

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 -

State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.

If $P=\{m, n\}$ and $Q=\{n, m\},$ then $P \times Q=\{(m, n),(n, m)\}.$

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

$A \times(B \cap C)$

If $G =\{7,8\}$ and $H =\{5,4,2\},$ find $G \times H$ and $H \times G$.