HMMT 2017 U7

Guts
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An ordered pair of sets $(A, B)$ is good if $A$ is not a subset of $B$ and $B$ is not a subset of $A$ . How many ordered pairs of subsets of $\{1,2, \ldots, 2017\}$ are good?

Dataset text NuminaMath olympiads. Quoted with source.

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4^{2017}-2 \cdot 3^{2017}+2^{2017}

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