# Easy Permutation-Combination Solved QuestionAptitude Discussion

 Q. 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?
 ✖ A. ${^6P_5}$ ✖ B. $1$ ✖ C. $5$ ✔ D. $\text{None of these}$

Solution:
Option(D) is correct

Since, all the points are equally spaced; hence the area of all the convex pentagons will be same.

## (5) Comment(s)

Raj Singh
()

The answer should be 0 because there is no way where we can draw 2 pentagons of distinctly different areas. For e.g. if the question is "how many ways you can create circles of distinctly different area on a plane of 4 points". Answer it's just not possible.

Shubham
()

if the points have not been equally spaced then what w be the answer plz tell..

RAKESH
()

If the points have not been equally spaced then we will get the 1 pantagons have the same area.

Ashis
()

if the points have not been equally spaced then at most, 6 pentagons of distinctively different areas could be formed, leaving 1 point each time for creating each pentagon

Neha
()

though all the pentagons have the same area. The answer should be 1