Question

Determine the number of parallelograms that can be formed from a set of 4 parallel lines intersecting another set of 5 parallel lines.

Answer 1

Answer:

60

Step-by-step explanation:

Given one set of 4 parallel lines intersecting with another set of

5 parallel lines.

In order to form a parallelogram we need to have 2 sets of parallel lines

intersecting with one another.

Hence , one set of parallel line should be chosen from 4 parallel lines.

So, selection of 2 lines out of 4 could be done in ⁴C₂ ways = 6

Another set of parallel line should be chosen from 5 parallel lines.

So, selection of 2 lines out of 5 could be done in ⁵C₂ ways = 10

Total number of parallelograms that could be formed from the

given 2 sets of parallel lines would be 6*10 = 60.

Hope, it helps !