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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. What is the TOTAL points distributed in the tournament?
A15 (each game distributes 1 point total)
B15
C20
D12
Answer & Solution
Correct answer: B. 15
Each game distributes 1 point total (1 for win or 0.5+0.5 for draw). With 15 games: total = 15 points. Verify with given scores: 4.5+4+3+2.5+1+0 = 15 ✓.
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