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Class 11MathematicsPermutations and CombinationsCombinationsExpert
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There are (7) points on one line and (5) points on another parallel line. How many quadrilaterals can be formed using these points as vertices?

Answer and explanation

Correct answer: (210)

A quadrilateral needs (2) points from each line, so ( \binom{7}{2}\binom{5}{2}=210 ). Taking (3) points from one line cannot form a quadrilateral.

Related tags

Class11CombinationsQuadrilateralsParallel-LinesExpertPermutations And CombinationsMathematicsClass 11 Mcq
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