Question

How many parallelograms are formed by a set of 4 parallel lines intersecting
another set of 7 parallel lines?
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Answer 1

Answer:

We have two sets of parallel lines. Assuming that the two sets are not parallel to each other, we can say that some parallelograms will be formed. We need to determine the number of parallelograms.

If we take any two lines from each of the set a parallelogram will be formed. Hoping that you know the concept of permutations and combination i would like to give the solution of it.

We have to select any two lines from each set.

From one set we can do it in 4C2 ways. 4C2=6

From the other we can do it in 7C2 ways. 7C2=21

As the work is not completed only by selecting, we have to multiply the above resuls.

i.e 4C2 x 7C2 = 6 x 21 = 126

So 126 parallelograms will be formed

hope it's correct and helpful for you

Answer 2

28 parallelograms are formed

Step-by-step explanation:

Please mark the brainliest answer okay