Number of Regions Formed by Chords of a Circle

Number of Regions Formed by Chords of a Circle

## Formula

If $$n$$ points are placed on a circle and no three chords intersect at the same interior point, the maximum number of regions formed by joining every pair of points is:

$$1+{}^nC_2+{}^nC_4$$

## Usage

- Used in advanced geometric counting problems involving chords of a circle.