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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 $2$ steps, how many different points could Franklin end up at?

 May 22, 2024
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After n steps, the number of lattice points (points with integer coordinates) he could reach  = (n + 1)^2

 

So.... (2 + 1)^2  = 3^2  =   9 points

 

cool cool cool

 May 23, 2024

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