This question like the last is from an Australian Mathematics competition, and like the last it is to be done using pen and paper only, NO calculators allowed.. 8)
Each face of a solid cube is divided into four squares of equal size. Looking at the face of the cube directly in front of you, the top left vertex is labelled P, whilst the bottom right vertex on the rear face is labelled Q. Starting from vertex P, paths can be travelled to vertex Q along connected line segments. If each movement along the path takes one closer to Q, what is the number of possible paths from P to Q?
Ron.
Each face of a solid cube is divided into four squares of equal size. Looking at the face of the cube directly in front of you, the top left vertex is labelled P, whilst the bottom right vertex on the rear face is labelled Q. Starting from vertex P, paths can be travelled to vertex Q along connected line segments. If each movement along the path takes one closer to Q, what is the number of possible paths from P to Q?
Ron.