parallelogram

Probability Level pending

Nine parallel lines in a plane are intersected by another set of seven parallel lines. Find the total number of parallelograms formed.


The answer is 756.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

Chosing any 2 of the first set of parallel lines and any 2 of the next set of parallel lines will always form a parallelogram. Hence ( 9 C 2 ) ( 7 C 2 ) = (9C2)(7C2)= 756 \color{#D61F06}\boxed{756}

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