AMC 10 Step by Step
2015 AMC 10BProblem 20P16-20~5 minPrint

Erin the ant starts at a given corner of a cube and crawls along exactly 77 edges in such a way that she visits every corner exactly once and then finds that she is unable to return along an edge to her starting point. How many paths are there meeting these conditions?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.