Combinatorics in Octahedron (AIME 2001)
Posted: Thu Jan 12, 2012 8:34 pm
The numbers 1, 2, 3, 4, 5, 6, 7 and 8 are randomly written on the faces of a Regular Octahedron so that each face contains a different number. Compute the Probability that no two consecutive numbers, where 8 and 1 are considered to be consecutive, are written on faces that share an edge.