Weighted Sum of Binomial Coefficients
## Formula
$$\sum_{r=0}^{n}r{}^nC_r=n2^{n-1}$$
## Usage
- Used when each binomial coefficient is multiplied by its index.
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CAT Formulas
Binomial Theorem
Weighted Sum of Binomial Coefficients
Weighted Sum of Binomial Coefficients
## Formula
$$\sum_{r=0}^{n}r{}^nC_r=n2^{n-1}$$
## Usage
- Used when each binomial coefficient is multiplied by its index.
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