(a) Fifteen points, no three of which are collinear, are given on a plane. How many lines...

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(a) Fifteen points, no three of which are collinear, are given on a plane. How many lines do they determine?
(b) Twenty-five points, no four of which are coplanar, are given in space. How many triangles do they determine? How many planes? How many tetrahedra (pyramidlike solids with four triangular faces)?
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