Question: Probability & Counting: Consider a 4 4 grid of points as below. How many triangles can be formed with non-zero area whose corners touch a

Probability & Counting:

Probability & Counting: Consider a 4 4 grid of points as below.

Consider a 4 4 grid of points as below. How many triangles can be formed with non-zero area whose corners touch a point on the grid? Present your answer as an expression. Note that a triangle can go through points, but all corners must touch a point. Also note that a triangle has non-zero area iff all of its corners do not lie on the same row, column, or diagonal Hint: The answer is 516

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