KöMaL 2025 C1865
In the school arm wrestling championship 17 students took part. Every student played with every other student exactly once, and there were no draws. We call a group of participants strong , if every participant not in the group was beaten by at least one participant in the group. Prove that it is always possible to find a strong group containing at most 9 participants.
Official text KöMaL. Quoted with source.
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