If p' parallel lines in a plane are intersected by a family of 'q' parallel lines, find the number of parallelograms formed.
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The number of parallelograms can be obtained by selecting two lines form each set of parallel lines and it can be done in , ᵖC2 × qC2 ways
so the number of parallelograms formed are ᵖC2 × qC2 .
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