Consider a round-robin tournament among n players (labeled a1, a2, a3,...,an) where a1

Chapter 10, Problem T2

(choose chapter or problem)

Consider a round-robin tournament among n players (labeled a1, a2, a3,...,an) where a1 beats a2, a2 beats a3, a3 beats a4,..., an1 beats an, and an beats a1. Compute the power of each player, showing that they all have the same power; then determine that common power. [Hint: Use a computer to study the cases n = 3, 4, 5, 6; then make a conjecture and prove your conjecture to be true.]

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