Mathematics - Sets and Relations Question with Solution | TestHub

Let $S=\left\{p_1,p_2\dots .,p_{10}\right\}$ be the set of first ten prime numbers. Let $A=S\cup P$, where $P$ is the set of all possible products of distinct elements of $S$. Then the number of all ordered pairs ( $x,y$ ), $x\in S$, $y\in A$, such that $x$ divides $y$, is ______.