JEE Main 2025 — 24 January, Morning Shift — Question 25

Let $S=\left\{p_{1}, p_{2} \ldots \ldots, p_{10}\right\}$ be the set of first ten prime numbers. Let $A=S \cup P$, where $P$ is the set

of all possible products of distinct element of $S$. Then the number of all ordered pairs ( $x, y$ ), $x \in S$, $y \in A$,

such that $x$ divides $y$, is $\_\_\_\_\_$ .