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MathNet 2016-part-05 — 184 problems (EN–VI) Question 72

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 72

Three friends, Andrej, Blaž and Cene, were playing badminton. For each game, two of them were playing one against the other, and the third was free. After each game, the winner of the game played against the one that was free in the last game. Andrej played $17$ games and Blaž played $23$ games. At least how many games did Cene play?
(A) $6$
(B) $11$
(C) $12$
(D) $14$
(E) $23$