Ononot — Let U = \{1, 2, 3, \dots, 20\}. Consider two subsets of the

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Set Theoryhard

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Let $U = \{1, 2, 3, \dots, 20\}$ . Consider two subsets of the Cartesian product $U \times U$ : $S_1 = \{ (x, y) \in U \times U : x \text{ divides } y \}$ $S_2 = \{ (x, y) \in U \times U : y \text{ divides } x \}$ Determine the cardinality of $S_1 \cap S_2$ .