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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?

How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines? Correct Answer 315

Parallelograms are formed when any two pairs of parallel lines (where each pair is not parallel to the other pair) intersect.   Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines.   Therefore, the total number of parallelograms formed = 7C2 x 6C2 = 315

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