Weighted Combination Sum

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Weighted Combination Sum

## Formula

$$\sum_{r=0}^{n}r{}^nC_r=n2^{n-1}$$

Also:

$$\sum_{r=0}^{n}r(r-1){}^nC_r=n(n-1)2^{n-2}$$

## Usage

- Used in summations involving the index multiplied by a binomial coefficient.

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