Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2019-part-03 — 184 problems (EN–VI) Question 168

Math Olympiad Vault · MathNet 2019-part-03 — 184 problems (EN–VI)

Question 168

In a certain city there are $n$ straight streets, such that every two streets intersect, and no three streets pass through the same intersection. The City Council wants to organize the city by designating the main and the side street on every intersection. Prove that this can be done in such way that if one goes along one of the streets, from its beginning to its end, the intersections where this street is the main street, and the ones where it is not, will appear in alternating order.