There are 2 parallel line segments \(AB\) and \(CD\) in a plane. \(AB\) contains 12 marked points whereas \(CD\) contain

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There are 2 parallel line segments \(AB\) and \(CD\) in a plane. \(AB\) contains 12 marked points whereas \(CD\) contains 8 marked points. How many triangles can be formed by using these marked points as vertices?

a. \(12!\cdot 28+8!\cdot 66\)
b. \(12!\cdot 8!\)
c. \(20\)
d. \(864\)
e. \(1024\)

Answer: D

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