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There are p coplanar parallel lines. If ...

There are p coplanar parallel lines. If any 3 points are taken on each of the lines, the maximum number of triangles with vertices at these points is:

A

`""^(3p)C_(3)-p`

B

`(9P^(2)(p-1))/(2)`

C

`4P^(2)(P-1)`

D

`18""^(P)C_(2)+""^(27)""^(P)C_(3)`

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The correct Answer is:
A, B, D
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