2023 AIME I Problems/Problem 3
Unofficial problem statement: In a plane there exists lines, none of which are parallel. There are
points in which exactly
lines intersect,
points in which exactly
lines intersect,
points in which exactly
lines intersect, and
points in which exactly
lines intersect. There are no points in which more than
lines intersect. How many points are there in which exactly
lines intersect?