If set $A$ has $p$ elements and set $B$ has $q$ elements,then the number of elements in $A \times B$ is:

The Cartesian product $A \times A$ has $9$ elements,among which are found $(-1, 0)$ and $(0, 1)$. Find the set $A$ and the remaining elements of $A \times A$.

If $A = \{2, 3, 5\}$ and $B = \{2, 5, 6\}$,then find $(A - B) \times (A \cap B)$.

If $A = \{x : x^2 - 5x + 6 = 0\}, B = \{2, 4\}, C = \{4, 5\}$,then $A \times (B \cap C)$ is

If $A = \{x : x^2 - 5x + 6 = 0\}, B = \{2, 4\}, C = \{4, 5\}$,then find $A \times (B \cap C)$.

If $A = \{a, b\}$,$B = \{c, d\}$,$C = \{d, e\}$,then $\{(a, c), (a, d), (a, e), (b, c), (b, d), (b, e)\}$ is equal to