To find subsets of $A \times B$ that are of the form $X \times Y$, where $X \subseteq A$ and $Y \subseteq B$, we will first compute the Cartesian product $A \times B$, then identify the subsets of this form.

Step 1: Compute $A \times B$

The Cartesian product $A \times B$ is the set of all ordered pairs where the first element is from $A$ and the second element is from $B$.

$A \times B = \{(1, 1), (1, 2), (2, 1), (2, 2), (3, 1), (3, 2)\}$

Step 2: Analyze subsets of the form $X \times Y$

For (