The number of parallelograms that can be formed

Asked by admin @ 29/08/2021 in Math viewed by 331 People

Find the number of parallelograms that can be formed asset of four parallel lines intersecting another set of three parallel lines

Answered by admin @ 29/08/2021

To form a parallelogram, we need two sets of parallel lines.

Selecting two parallel lines from a set of four can be done in 4C2 = 6
Selecting two parallel lines from a set of three parallel lines can be done in 3C2 = 3

Thus number of parallelogram that can be formed is 6×3 = 18

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