Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2018-part-02 — 181 problems (EN–VI) Question 179

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 179

Let $n \geq 3$ be an integer and consider $n$ lines in general position (that is, no three lines are ever concurrent and no two lines are ever parallel). How many triangles are formed by these lines?

N.B. For example, in the figure below, there are 4 triangles.

Question illustration