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MathNet 2026 — Part 03 Question 73

Math Olympiad Vault · MathNet 2026 — Part 03

Question 73

In a meeting between four UN countries, let's say $A$, $B$, $C$ y $D$, the country $A$ It has twice as many representatives as the $B$, three times the $C$, and the quadruple that the $D$. It is intended to distribute the representatives at tables with the same number of people in each one. There is only one condition: at each table, any of the countries must be in numerical inferiority with respect to the other three together. How many representatives should there be at each table, at least?