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There are (4) parallel lines in one family and (5) parallel lines in another family. How many parallelograms are formed?

Answer and explanation

Correct answer: (60)

A parallelogram needs (2) lines from each family, so ( \binom{4}{2}\binom{5}{2}=60 ). The key idea is choosing two parallel lines from each family.

Related tags

Class11CombinationsParallelogramsParallel-LinesExpertPermutations And CombinationsMathematicsClass 11 Mcq

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