Question 22
Ten points are selected on the positive $x$-axis, $\mathrm{X}^+,$ and five points are selected on the positive $y$-axis, $\mathrm{Y}^+.$ The fifty segments connecting the ten selected points on $\mathrm{X}^+$ to the five selected points on $\mathrm{Y}^+$ 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?