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MathNet 2026 — Part 02 Question 67

Math Olympiad Vault · MathNet 2026 — Part 02

Question 67

Five equal balls are moving in the same direction along a fixed line, keeping a certain distance from one to the other. In the same direction, but in the opposite direction, another five balls move against the first. The speeds of all balls are equal. When two balls collide, they return at the same speed as before, along the same direction. How many collisions between balls will occur?