Let A ={2,3,4,5,6}. Let R be a relation on the set A × A given by (x, y) R (z, w ) if and only if x divides z and y ≤ w. Then the number of elements…

Let $\displaystyle \mathrm{A}=\{2,3,4,5,6\}$. Let R be a relation on the set $\displaystyle \mathrm{A} \times \mathrm{A}$ given by $\displaystyle (x, y) \mathrm{R}(z, \mathrm{w})$ if and only if $\displaystyle x$ divides $\displaystyle z$ and $\displaystyle y \leqslant w$. Then the number of elements in R is $\displaystyle \_\_\_\_$.