Question 70
We consider on a circle $n$ different points such that there are no three chords with ends from these points passing through the same point lying in the interior of the circle.
a. Find the value of $n$, if you know that the number of triangles with vertices three from the $n$ points is equal to $2n$.
β. Find the value of $n$, if you know that the number of the intersection points of the chords, lying in the interior of the circle is equal to $5n$.
a. Find the value of $n$, if you know that the number of triangles with vertices three from the $n$ points is equal to $2n$.
β. Find the value of $n$, if you know that the number of the intersection points of the chords, lying in the interior of the circle is equal to $5n$.