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MathNet 2005 — Part 03 Question 174

Math Olympiad Vault · MathNet 2005 — Part 03

Question 174

Farmer Bill's 1000 animals - ducks, cows, and rabbits - are standing in a circle. In order to feel safe, every duck must either be standing next to at least one cow or between two rabbits. If there are 600 ducks, what is the least number of cows there can be for this to be possible?