Franklin the fly starts at the point $(0,0)$ in the coordinate plane. At each point, Franklin takes a step to the right, left, up, or down. After $2$ steps, how many different points could Franklin end up at?
Franklin could end up at eather (0, 2), (1, 1), (2, 0), (1, -1), (0, -2), (-1, -1), (-2, 0), or (-1, 1). In total, that's 8 possible points.