Asked by RONIEL JOHN
IF THERE ARE 7 DISTINC POINTS ON THE PLANE WITH NO THREE OF WHICH ARE COLLINEAR, HOW MANY DIFFERENT POLYGONS CAN BE POSSIBLY FORMED?
Answers
Answered by
Reiny
Polygons with 3 vertices, (triangle) = C(7,3) = 35
polygons with 4 vertices = C(7,4) = 35
polygons with 5 vertices = C(7,5) = 21
polygones with 6 vertices = C(7,6) = 7
polygons with 7 vertices = 1
add them up
polygons with 4 vertices = C(7,4) = 35
polygons with 5 vertices = C(7,5) = 21
polygones with 6 vertices = C(7,6) = 7
polygons with 7 vertices = 1
add them up
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