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Triangle question (1 Viewer)

alewe

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How would you get the answer, when I tried I got 412
1726824495228.png
 

alewe

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3 going both ways, so minus another 6, then minus another 2 for the long diagonals going over the whole grid, giving 412?
 

Sethio

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Is it 414?
15C3 - 3x5C3(rows making 3 colinear points) - 5x3C3(columns making 3 colinear points) - 3 (diagonals left to right) - 3 (diagonals right to left) = 414

The reason i don't include the 2 spanning across the whole grid is because they don't look colinear per se. I think the middle dot spans a small angle above the end dots.
 

WeiWeiMan

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Is it 414?
15C3 - 3x5C3(rows making 3 colinear points) - 5x3C3(columns making 3 colinear points) - 3 (diagonals left to right) - 3 (diagonals right to left) = 414

The reason i don't include the 2 spanning across the whole grid is because they don't look colinear per se. I think the middle dot spans a small angle above the end dots.
nah but if the dots are equally spaced apart the diagonals are collinear
Screenshot 2024-09-20 at 8.14.52 PM.png
line here is y=-1/2 x + 2 which passes thru (0,2), (2,1) and (4,0)
 

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