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Math Help - Number of triples

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    MHF Contributor alexmahone's Avatar
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    Number of triples

    Prove that the number of triples (A, B, C) where A, B, C are subsets of {1, 2, ..., n} such that A \cap B \cap C = \phi, A \cap B \ne \phi, B \cap C\ne \phi is 7^n - 2.6^n + 5^n.
    Last edited by alexmahone; October 20th 2008 at 08:41 AM.
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