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11. (10 marks) The AFL (Australian Football League) has 18 teams. Each team plays one game per week. Assume a team never plays a given
11. (10 marks) The AFL (Australian Football League) has 18 teams. Each team plays one game per week. Assume a team never plays a given other team more than once. Prove that after 8 weeks, there exists at least 3 teams none of which have played each other.
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