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

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

  1. A

     3pC3

  2. B

    p2(p1)

  3. C

    p2(4p1)

  4. D

    p2(4p3)

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    Solution:

    pC1×pC1×pC1+pC2×2pC1×3C1=p2(4p3)

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