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In a single round-robin chess tournament among 6 players (A, B, C, D, E, F), each player plays every other player exactly once. A win counts as 1 point, a draw as 0.5 points (each player), and a loss as 0 points. After the tournament, the final scores were: | Player | Score | |--------|-------| | A | 4.5 | | B | 4.0 | | C | 3.0 | | D | 2.5 | | E | 1.0 | | F | 0 | Also known: - A drew with B. - C lost to both A and B. - D drew with E. From 'C lost to both A and B', C must have earned all 3 of their points from games against:
AA and B
BAll except A
COnly D
DD, E, F (3 remaining opponents)
Answer & Solution
Correct answer: D. D, E, F (3 remaining opponents)
C's 3 points come from games NOT against A or B (where C lost). So all 3 points from D, E, F (3 games, each could be win or draw). 3 wins out of 3 fits (3 points), or 2 wins + 2 draws (3 points), etc.
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