Relation Between Consecutive Combinations
## Formula
$$\frac{^nC_{r+1}}{^nC_r}=\frac{n-r}{r+1}$$
Therefore:
$$^nC_{r+1}=^nC_r\frac{n-r}{r+1}$$
Also:
$$^nC_{r-1}=^nC_r\frac r{n-r+1}$$
## Usage
- Used to compare consecutive combination terms and identify the greatest term.