Track / Stage 4 / 148 of 340 #408 of 1964

Problem 408

AMC 12 late, AIME early

Combinatorics Difficulty 4.8 Multiple choice

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 reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.