Sum of Binomial Coefficients

Rarely Tested

Sum of Binomial Coefficients

## Formula

$$\sum_{k=0}^{n}\binom nk=2^n$$

Also:

$$\sum_{k=0}^{n}(-1)^k\binom nk=0$$

for:

$$n\ge1$$

## Usage

- Used in summation problems involving binomial coefficients.

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