These are $n$ distinct points on the circumference of a circle. The number of pentagons that can be formed with these points as vertices is equal to the number of possible triangles. Then, the value of $n$ is

Question

Dr. Abubacker · Accepted Answer

(b)
Since, there are $n$ distinct points on a circle.
For making a pentagon it requires a five points
According to given condition
$\ ^{n}C_{5} = \ ^{n}C_{3}\  \Rightarrow \ n = 8$

Q. These are $n$ distinct points on the circumference of a circle. The number of pentagons that can be formed with these points as vertices is equal to the number of possible triangles. Then, the value of $n$ is

Explanation

Reviewed by Dr. Abubacker

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