Consecutive Binomial Coefficient Relation

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Consecutive Binomial Coefficient Relation

## Formula

$${}^nC_r=\frac{n-r+1}{r}{}^nC_{r-1}$$

Also:

$${}^nC_r=\frac{n-r}{r+1}{}^nC_{r+1}$$

## Usage

- Used to express one binomial coefficient in terms of a neighbouring coefficient.

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