Track / Stage 4 / 136 of 340 #396 of 1964

Problem 396

AMC 12 late, AIME early

Combinatorics Difficulty 4.8 Find the answer

22. There are 10 points on the positive $x$ -axis and 5 points on the positive $y$ -axis. The 10 points on the positive $x$ -axis and the 5 points on the positive $y$ -axis form 50 line segments. The maximum number of intersection points of these 50 line segments in the first quadrant is:

Pick one

Official solution

$\frac{22}{B}$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.