If $A = \{0, 1\}$ and $B = \{1, 0\}$,then $A \times B$ is equal to

Let $n(A) = 3$ and $n(B) = 3$ (where $n(S)$ denotes the number of elements in set $S$). Then,the number of subsets of $(A \times B)$ having an odd number of elements is:

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

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

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 $B \times D$.

Let $A$ and $B$ be two sets containing $4$ and $2$ elements respectively. Then the number of subsets of the set $A \times B$ each having at least $3$ elements is: