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MathNet 2024-part-04 — 168 problems (EN–VI) Question 20

Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)

Question 20

Xander draws five points and a number of infinitely long lines on an infinite sheet of paper. He does this in such a way that on each line there are at least two of those points and that the lines intersect only at points that Xander has drawn.
What is the maximum number of lines Xander could have drawn?

A) 3
B) 4
C) 5
D) 6
E) 7