Prove the following statement by induction.
Suppose that eight hockey teams are entered in a round-robin tournament, which means that each
team plays every other team exactly once. Assume that no ties are allowed (e.g., all ties will go
to a penalty shootout). Prove that if no team loses all of its games, then at least two teams will
finish the tournament with the same number of wins.
2026-03-25 04:24:08.1774412648
Prove that if no team loses all of its games, then at least two teams will finish the tournament with the same number of wins
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8 teams, each team can have 1 to 7 wins.
Pigeon hole the teams into the number of wins.