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Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A chess tournament is planned for teams, each of which has exactly three players. Each player in a team will play exactly once against each player from all the other teams. For organisational reasons, no more than 250 games can be played in total. At most, how many teams can enter the tournament?

(A) $11$ (B) $10$ (C) $9$ (D) $8$ (E) $7$

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