1992 AHSME Problem 22

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?

\text{(A) } 250\quad \text{(B) } 450\quad \text{(C) } 500\quad \text{(D) } 1250\quad \text{(E) } 2500

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.