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MathNet 2022-part-02 — 197 problems (EN–VI) Question 22

Math Olympiad Vault · MathNet 2022-part-02 — 197 problems (EN–VI)

Question 22

There are 25 green, 20 brown and 15 orange chameleons in a zoo. Whenever exactly two chameleons of distinct colours meet, both change their colour to the third one. Otherwise, the chameleons do not change their colours. Is it possible that:

a. at some time instant, we have the same number of chameleons of each colour?

b. at some time instant, all chameleons are of the same colour?