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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. How many games were played in total?
A12
B6
C10
D15 (= C(6,2) = 15)
Answer & Solution
Correct answer: D. 15 (= C(6,2) = 15)
Round-robin: each pair plays once. Number of games = C(6,2) = 15.
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