A geometry problem by Satvik Choudhary

Geometry Level 3

As shown in the diagram, points \[ P_{I} , P_{2} , .., P_{I0} \] are either the vertices or the midpoints of the edges of a tetrahedron respectively. Then there are groups of four points\[ (P_{I} , P_{i} , P_{j} , P_{k})\] \[ (1 < i < j < K < 10)\] on the same plane.

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