(Q). consider a set of two octagons, what is the maximum number of quadrilaterals that can be drawn from these 16 points ( vertices of two octagons ) as vertices such that at least one point is selected from each octagon.
Solution:-
⁸C₁×⁸C₃ + ⁸C₂×⁸C₂ + ⁸C₃×⁸C₁
= 8×56 + 28×28 + 5×8
= 1680 Answer