×

# Mice running through grids

Ronald the Mouse stands on the bottom leftmost corner on a $$n\times n \text{ units}^2$$ grid. He can only move 1 unit up or 1 unit right at a time, prove that the number of paths Ronald the Mouse can take to get to the upper right corner will always be in the form $$\binom {2n}n$$ for any $$n \times n$$ grid

Note by Yan Yau Cheng
3 years, 2 months ago

Sort by: