The number of parallelograms that can be formed

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

  1. 18
  2. 24
  3. 32
  4. 36

Answer

To make a parallelogram, you need two horizontal parallel lines and two vertical parallel lines.

So, number of parallelograms formed = 4C2 × 4C2

= 36

The correct option is D.