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MathNet 2026 — Part 03 Question 180

Math Olympiad Vault · MathNet 2026 — Part 03

Question 180

Four black balls and five white balls are placed, in arbitrary order, around a circumference. If two consecutive balls are the same color, a new black ball is inserted between them. Otherwise, a new white ball is inserted. Black and white balls are removed prior to insertion. Repeating the process, is it possible to get nine white balls?