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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 $10$ steps, how many different points could Franklin end up at?
 

 Jan 30, 2021
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Franklin can reach any point inside the square with vertices (10,10), (10,-10), (-10,-10), and (-10,10), so the answer is 21^2 = 441.

 Jan 30, 2021

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