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Question: let s be an nelement set where n 2 1...

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Let S be an n-element set, where n 2 1. If A is a subset of S, denote by o(A) the cardinality of (number of elements in) A. Say that A is odd (even) if o(A) is odd (even). Prove that the number of odd subsets of S is equal to the number of its even subsets.

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