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15C3 - 5 x 3c3 - 3 x 5c3 = 420 hence CHow would you get the answer, when I tried I got 412
View attachment 44299
But what about the diagonals
 forgot those existed mb
 forgot those existed mbnah but if the dots are equally spaced apart the diagonals are collinearIs 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.

 
				