There are 6 equally spaced points A,B,C,D,E and F marked on a circle with radius R. How many convex pentagons of distinctly different areas can be drawn using these points as vertices? Pick:  A) 6P5  B) 1  C) 5  D) None of these  E) Cannot be determined
Solution:   Since, all the points are equally spaced; hence the area of all the convex pentagons will be same.   Answer: Option None of these
<result>D</result>
There are 6 equally spaced points A,B,C,D,E and F marked on a circle with radius R. How many convex pentagons of distinctly different areas can be drawn using these points as vertices?