HMMT 2012 U4
- Guts
- Answer
Luna has an infinite supply of red, blue, orange, and green socks. She wants to arrange 2012 socks in a line such that no red sock is adjacent to a blue sock and no orange sock is adjacent to a green sock. How many ways can she do this?
Dataset text NuminaMath olympiads. Quoted with source.
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4 \cdot 3^{2011}
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