Let S ={ p_1, p_2 …, p_10} be the set of first ten prime numbers. Let A = S ∪ P, where P is the set of all possible products of distinct elements of…

Let $\displaystyle \mathrm{S}=\left\{\mathrm{p}_1, \mathrm{p}_2 \ldots, \mathrm{p}_{10}\right\}$ be the set of first ten prime numbers. Let $\displaystyle \mathrm{A}=\mathrm{S} \cup \mathrm{P}$, where P is the set of all possible products of distinct elements of S . Then the number of all ordered pairs $\displaystyle (\mathrm{x}, \mathrm{y}), \mathrm{x} \in \mathrm{S}$, $\displaystyle \mathrm{y} \in \mathrm{A}$, such that x divides y , is $\displaystyle \_\_\_\_$.