Imagine you have six different colours of paint. You paint a cube
using a different colour for each of the six faces. How many
different cubes can be painted using the same set of six colours?
Cube Paths
Age 11 to 14 Challenge Level
The diagram shows a skeletal view of a 2 by 2 by 2 cube with one
route 'down' the cube.
How many routes are there on the surface of the cube from A to
B?
(No `backtracking' allowed, i.e. each move must be away
from A towards B.)