Combinatorics › Pigeonhole and extremal problems › Coloured beads and balloons
Blue points on a line
Middle school · ●●○○○ 20 pts
On a line, one hundred points are marked, each painted green, blue, or red. Between any two red points there is a blue point, and between any two blue points there is a green point. There are no fewer red points than blue points, and no fewer blue points than green points. How many points are painted blue?