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Class 11MathematicsPermutations and CombinationsCombinationsExpert
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Among (14) points, (6) lie on one line and (4) on another line. The lines are distinct and no other (3) points are collinear. How many triangles can be formed?

Answer and explanation

Correct answer: (324)

Total is (^{14}C_{3}=364). Invalid selections are (^{6}C_{3}+^{4}C_{3}=24), so the answer is (340).

Related tags

GeometryCollinearTrianglesCombinationsPermutations And CombinationsMathematicsClass 11 Mcq
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