Question

Find the numbers of chords that can be drawn through 16 points on circle.

Answer 1

Since, the points lie on the circumference of the circle, no three of them are collinear. Thus, number of chords formed by 16 points by taking 2 at a time=

${}^{16}{C}_2=\frac{16!}{2!14!}=\frac{16\times 15}{2\times 1}=120$