Consider a rectangle ABCD having 5, 7, 6...

Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA respectively. Let `alpha` be the number of triangles having these points from different sides as vertices and `beta` be the number of quadrilaterals having these points from different sides as vertices. Then `(beta-alpha)` is equal to :

795

1173

717

1890

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