There lays a 10x10 square grid in front of Claire and she isinstructed to stand in the lower left square of the grid. She isasked to make her way to the top right square of the grid but shecan only move 1 square up or 1 square to the right at a time.
1. In how many ways could she make a path to the top rightcorner?
2. In how many ways could she make a path if she was alsorequired to pass through the center square (5,5)?
