If $(x+1, y-2) = (3, 1)$,find the values of $x$ and $y$.

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:

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

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 $(A - B) \times (A \cap B)$.

State whether the following statement is true or false. If the statement is false,rewrite the given statement correctly.
If $P = \{m, n\}$ and $Q = \{n, m\}$,then $P \times Q = \{(m, n), (n, m)\}$.