2

Part of 2002 Junior Balkan Team Selection Tests - Moldova

Problems(1)

among 64 points of 2003 different lines there are at least 4 collinear points

Source: 2002 Moldova JBMO TST p2

64

distinct points are positioned in the plane so that they determine exactly

2003

different lines. Prove that among the

64

points there are at least

4

collinear points.

combinatoricscombinatorial geometrylinespoints