olymmath

HMMT 2007 C8

  • Combinatorics
  • Answer

A set of six edges of a regular octahedron is called Hamiltonian cycle if the edges in some order constitute a single continuous loop that visits each vertex exactly once. How many ways are there to partition the twelve edges into two Hamiltonian cycles?

Dataset text NuminaMath olympiads. Quoted with source.

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6

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