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Home/ Questions/Q 6651509
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Editorial Team
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Editorial Team
Asked: May 26, 20262026-05-26T01:01:16+00:00 2026-05-26T01:01:16+00:00

Given a tournament graph like this : How do you find out how many

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Given a tournament graph like this :
How do you find out how many rankings there are systematically?
Help / explanation would really be appreciated.

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  1. Editorial Team
    Editorial Team
    2026-05-26T01:01:17+00:00Added an answer on May 26, 2026 at 1:01 am

    Did you mean this graph specifically, in which every node has two “in” edges and two “out” edges? That is, a graph in which there’s no reason to prefer any specific node, and any arrangement of five letters is equally good? That’s just asking how many different ways you can arrange five letters.

    As an aside, the graph reminds me very much of the win-lose graph of Rock, Paper, Scissors, Spock, Lizard. In fact, you get this graph if you identify x with paper, y with lizard, v with scissors, w with Spock, and u with rock. There is an arrow from a to b if a defeats b.

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