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KöMaL 2008 K185

    Ten teams took part in a football championship. Every team played every other team exactly once. In each game, the winner team gets 3 points and the losers get 0. In the case of a tie, each team gets 1 point. At the end of the championship, the total of the scores of the teams was 119. Is it true that there was at least one team that tied at least four times?

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