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Class 11MathematicsPermutations and CombinationsCombinationsHard
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Among (16) points (6) points are collinear and another (4) points are collinear on a different line. No other (3) points are collinear. How many triangles can be formed?

Answer and explanation

Correct answer: (536)

Total triples are (\binom{16}{3}=560). Failed triples are (\binom{6}{3}+\binom{4}{3}=24), so (560-24=536).

Related tags

CombinationsClass11HardPermutations And CombinationsMathematicsClass 11 Mcq
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