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AIMO 2021 Primary 6 — Preliminary (Open Trial 1) Question 18

AIMO · AIMO 2021 Primary 6 — Preliminary (Open Trial 1)

Question 18

The two players in a League championship will continue to play until one player wins a total of three games. How many ways are there for any player to win the championship?

Editorial convention: Count ordered, no-draw game-result sequences with either of the two named players as champion.