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MathNet 2023-part-02 — 191 problems (EN–VI) Question 49

Math Olympiad Vault · MathNet 2023-part-02 — 191 problems (EN–VI)

Question 49

A terrible gang of bandits is getting ready to share out a loot. Each bandit aims at two other bandits with his pistols. The bandits are called in a certain order. When a bandit is called, if he is still alive, he shoots the bandits he was aiming at. After all the bandits have been called, there were 28 victims. Show that whatever the order in which the bandits had been called, there would have been at least 10 victims.