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Weighted Binomial Sum
## Formula
$$\sum_{k=0}^{n}k\binom nk=n2^{n-1}$$
Also:
$$\sum_{k=0}^{n}k(k-1)\binom nk=n(n-1)2^{n-2}$$
## Usage
- Used in advanced summation problems involving binomial coefficients.
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Weighted Binomial Sum
## Formula
$$\sum_{k=0}^{n}k\binom nk=n2^{n-1}$$
Also:
$$\sum_{k=0}^{n}k(k-1)\binom nk=n(n-1)2^{n-2}$$
## Usage
- Used in advanced summation problems involving binomial coefficients.
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