Alternating Sum of Combinations
## Formula
$$\sum_{r=0}^{n}(-1)^r{}^nC_r=0$$
for:
$$n\ge1$$
## Usage
- Used to evaluate alternating sums of binomial coefficients.
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CAT Formulas
Permutations & Combinations
Alternating Sum of Combinations
Alternating Sum of Combinations
## Formula
$$\sum_{r=0}^{n}(-1)^r{}^nC_r=0$$
for:
$$n\ge1$$
## Usage
- Used to evaluate alternating sums of binomial coefficients.
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