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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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Among (12) points, (5) points are collinear, and no other (3) points are collinear. How many quadrilaterals can be formed?

Answer and explanation

Correct answer: (420)

Subtract selections containing (3) or (4) points from the set of (5) collinear points from total (\binom{12}{4}). A quadrilateral cannot have any (3) collinear points.

Related tags

GeometryCombinationsQuadrilateralFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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