smc

Ten points are selected on the positive $x$-axis,$X^{+}$, and five points are selected on the positive $y$-axis,$Y^{+}$. The fifty segments connecting the ten points on $X^{+}$ to the five points on $Y^{+}$ are drawn. What is the maximum possible number of points of intersection of these fifty segments that could lie in the interior of the first quadrant?