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

 

A 6

B 9

C 12

D 18

Solution

Correct Answer: Option D

সামান্তরিক হতে হলে 2টি Parallel line এবং 2টি Vertical line লাগবে।
 
4টি Parallel line থেকে 2টি Parallel line নেয়া যাবে  = 4C2 উপায়ে

∴ 3টি Vertical line থেকে 2টি Vertical line = 3C2 উপায়ে

∴ মোট উপায় = 4C2 x 3C2 = 18

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