HMMT 2015 U7
- Guts
- Answer
Let be a cube of side length 2 . We color each of the faces of blue, then subdivide it into unit cubes. We then randomly rearrange these cubes (possibly with rotation) to form a new 3-dimensional cube. What is the probability that its exterior is still completely blue?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{1}{16777216}
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