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IMC 2004 — Keystage 3 (IWYMIC) — team Question 7

xIMC · IMC 2004 — Keystage 3 (IWYMIC) — team

Question 7

Every pair of soccer teams plays once. A win gives two points in the old system and three in the new; a loss gives zero and a draw one per team in both. The new-system winner would finish last under the old system. Find the minimum number of teams and give every game result for an example.