If 10 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
Choose the correct choice from the following options
A) 80  B) 63  C) 120  D) 160  E) 1260

Rationale: "parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 10 c 2 for vertical 8 c 2 total parallelogram is 10 c 2 * 8 c 2 = 45 * 28 = 1260 answer : e"
Answer: E