olymmath

HMMT 2006 U8

  • Guts
  • Answer

How many ways are there to label the faces of a regular octahedron with the integers 1−1- 8 , using each exactly once, so that any two faces that share an edge have numbers that are relatively prime? Physically realizable rotations are considered indistinguishable, but physically unrealizable reflections are considered different.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

12

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmmt/2006/u8 · Tag G9QRDSJKX9 · Edit this page on GitHub · Keys: j next, k previous