Three Runners

Three runners, A, B, and C, ran a hundred-meter race together several times. The judge claims that A finished the race before B in more than half the races, B finished before C in more than half the races, and C finished before A in more than half the races.

Is this possible?

Difficulty level (1 very easy - 10 very hard): 3

Topics:
Proof and Example -> Constructing an Example / Counterexample Logic -> Reasoning / Logic -> Paradoxes
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