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Transversal Intersecting Two Lines

The number of...

Question

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is ......

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Solution

o form parallelogram we required a pair of line from a set of 4 lines and another pair of line from another set of 3 lines.
Required number of parallelograms = ⁴C₂ x ³C₂ = 6×3 = 18

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