Number of paths on a grid
Consider a grid formed by n vertices vertically down, and m vertices horizontally right. Your starting point is at the top lef...
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Which way to go?
Given an m*n grid,
How many ways are there to go from upper left corner to the lower right one?
You can only move right...
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How many rectangles in a grid ?
How many rectangles are there in an m × n grid ?
For example, if m=1 & n=2, we have 3 rectangles.