The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 are randomly written on the faces of a regular dodecahedron so that each face contains a different number.

Find the probability, in the form M/N, that no two consecutive numbers are written on faces that share an edge (10 and 1 are considered to be consecutive).

(In reply to clarification by Daniel)

assuming it should be 1-12 instead of 1-10.

Posted by Daniel on 2016-10-20 14:14:25