+0  
 
+1
815
1
avatar+68 

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
 #1
avatar
-1

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

2 Online Users