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Logic Puzzles 6.0/10

Twenty-Five Horses

You have 25 horses and a track that races exactly 5 at a time, with no timer; you learn only the finishing order of each race. What is the minimum number of races needed to guarantee finding the fastest three horses, in order?

Related problems & prerequisites

Worth solving first

Source: Classic tournament-sorting puzzle in wide circulation, long used as an interview question. Statement written for AxiomIQ.