2. Given n coplanar points, no three of which are collinear, use combinations to find how new quadrilaterals are determined when point P+1 is added to the set of n coplanar points. Notice that when point Ps is added to set of four, no three of which are collinear, four new quadrilaterals are created: P, P2P3P5, P,P2P4P5, P,P3P4P5, P, P3 P4 Ps. Explain why the process is correct. P4 Pn-1 P4 Pn P3 P3 P5 P+1 P2 P1 P2 P1

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