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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?

 Apr 29, 2024
 #1
avatar+130466 
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After n steps.....he can reach ( n + 1)^2   lattice points  (points with integer coordinates)  =  (2 + 1)^2  =   9

 

cool cool cool

 Apr 30, 2024

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