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 re: clarification by Daniel)

Based on what I found, I'd have expected the number to be 672000 rather than 660168.  I don't know where the discrepancy lies.

Posted by Charlie on 2016-10-20 16:04:43