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If 7 points out of 12 are in the same straight line, then the number of triangles formed is?

Correct Answer: 185

Explanation:

The number of ways of selecting 3 points out of 12 points is ¹²C₃. The number of ways of selecting 3 points out of 7 points, on the same straight line is ⁷C₃, Hence, the number of triangle formed will be ¹²C₃ - ⁷C₃ = 210 - 35 = 185.

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