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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?

 Dec 20, 2023
 #1
avatar+129881 
+1

up ,right  =  (1,1)

up, left = (-1,1)

up ,up = (0,2)

right, right = (2,0)

left, left = ( -2,0)

down, right = (1,-1)

down, left = (-1, -1)

down, down  = (0, -2)

 

 

cool cool cool

 Dec 20, 2023

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