There are 6 equally spaced points A, B, C, D, E and F marked on a circle with radius R. How many convex heptagons of distinctly different areas can be drawn using these points as vertices?(a) 7! * 6(b) 7C5(c) 7!(d) same areaThis question was addressed to me in unit test.The doubt is from Counting in portion Counting of Discrete Mathematics

There are 6 equally spaced points A, B, C, D, E and F marked on a circ

1.	There are 6 equally spaced points A, B, C, D, E and F marked on a circle with radius R. How many convex heptagons of distinctly different areas can be drawn using these points as vertices?(a) 7! * 6(b) 7C5(c) 7!(d) same areaThis question was addressed to me in unit test.The doubt is from Counting in portion Counting of Discrete Mathematics
Answer» Right choice is (d) same AREA The best I can explain: Since all the points are EQUALLY spaced; hence the area of all the CONVEX heptagons will be the same.

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