(Q). A parallelogram is cut by two set of parallel lines parallel to sides of parallelogram. Each set has ‘n’ parallel lines. What is the total number of parallelogram thus formed?
Solution:-
total horizontal parallel lines = n + 2
total vertical parallel lines = n + 2
Hence total number of parallelogram thus formed
= ⁿ⁺²C₂ × ⁿ⁺²C₂ Answer