IL-GILLIS 2011 Problem 3
In some foreign country's government, there are 12 ministers. Each minister has 5 friends and 6 enemies in the government (friendship/enemyship is a symmetric relation). A triplet of ministers is called uniform if all three of them are friends with each other, or all three of them are enemies. How many uniform triplets are there?
Dataset text AI-MO AoPS. Quoted with source.
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