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Class 11MathematicsPermutations and CombinationsCombinationsHard
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Among (20) points (8) points are collinear and another (5) points are collinear on a different line. No other (3) points are collinear. How many triangles can be formed?

Answer and explanation

Correct answer: (1074)

Total triples are (\binom{20}{3}=1140) and failed triples are (\binom{8}{3}+\binom{5}{3}=66). Hence (1140-66=1074).

Related tags

CombinationsClass11HardPermutations And CombinationsMathematicsClass 11 Mcq
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