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IMAS 2011 Junior Division — Second Round Question 2

IMAS · IMAS 2011 Junior Division — Second Round

Question 2

In the centenary celebration of IMAS International School, a basketball tournament was organized. After each team had played exactly three games, six teams were eliminated. The surviving teams then played one another exactly once. In all, 33 games were played. How many teams participated in this tournament?
  1. 16
  2. 23
  3. 24
  4. 12
  5. 26