Relation Between Consecutive Combinations

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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.

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