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

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

  1. A

    6

  2. B

    9

  3. C

    18

  4. D

    12

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    Solution:

    We know if m parallel lines are intersected by family of n parallel lines then number of parallelograms

    =mC2×nC2=mn(m1)(n1)4

    In given ques, m = 4, n = 3 

    Number of parallelogram formed =12(3)(2)4=18.

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