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MathNet 2010 — Part 07 Question 105

Math Olympiad Vault · MathNet 2010 — Part 07

Question 105

3000 people each go into one of three rooms randomly. What is the most likely value for the maximum number of people in any of the rooms? Your score for this problem will be 0 if you write down a number less than or equal to 1000. Otherwise, it will be $25-27 \frac{|A-C|}{\min (A, C)-1000}$.