Md.Nazrul Islam wrote:The number of parallelograms that can be formed from a set of four parallel straight line intersecting a set of three parallel straight lines .
From the set of 4 parallel lines:
We need to choose a combination of 2 to serve as 2 parallel sides of the parallelogram.
The number of combinations of 2 that can formed from 4 choices = 4C2 = 6.
From the set of 3 parallel lines:
We need to choose a combination of 2 to serve as the OTHER 2 parallel sides of the parallelogram.
The number of combinations of 2 that can be formed from 3 choices = 3C2 = 3.
To combine the options above, we multiply:
6*3 = 18.
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