If $A = \{1, 2, 4\}, B = \{2, 4, 5\}, C = \{2, 5\},$ then $(A - B) \times (B - C)$ is

If $P = \{1, 2\}$,form the set $P \times P \times P$.

If the set $A$ has $3$ elements and the set $B = \{3, 4, 5\},$ then find the number of elements in $(A \times B).$

State whether the following statement is true or false. If the statement is false,rewrite it 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 $A = \{1, 2, 3, 4\}$ and $B = \{a, b\}$,then the Cartesian product $A \times B$ is:

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