HMMT 2014 U20
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- Answer
A deck of 8056 cards has 2014 ranks numbered 1-2014. Each rank has four suits-hearts, diamonds, clubs, and spades. Each card has a rank and a suit, and no two cards have the same rank and the same suit. How many subsets of the set of cards in this deck have cards from an odd number of distinct ranks?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{1}{2}\left(16^{2014}-14^{2014}\right)
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