One more option than usual ....
Discrete Mathematics
Level
4
A pawn is placed on the lower left corner square of a standard \(8\) by \(8\) chess board. A 'move' involves moving the pawn, where possible, either
- one square to the right,
- one square up, or
- diagonally (one square up and to the right).
Using these legitimate moves, the pawn is to be moved along a path from the lower left square to the upper right square.
How many such paths are there?
by
Brian Charlesworth