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AMO 2027 Grades 8-9 SET 8 - Self-study Question 9

AMO · AMO 2027 Grades 8-9 SET 8 - Self-study

Question 9

Given a set of 12 points, seven of which lie on the same line. Moreover, the rest five points don’t lie on that line and no three of them are collinear. How many triangles can be formed by choosing the vertices from this set?