Sum of Products of Two Combination Terms
## Formula
$$\sum_{r=0}^{n}{}^nC_r{}^mC_{k-r}={} ^{n+m}C_k$$
This is Vandermonde's identity.
## Usage
- Used to simplify sums involving products of two binomial coefficients.
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CAT Formulas
Permutations & Combinations
Sum of Products of Two Combination Terms
Sum of Products of Two Combination Terms
## Formula
$$\sum_{r=0}^{n}{}^nC_r{}^mC_{k-r}={} ^{n+m}C_k$$
This is Vandermonde's identity.
## Usage
- Used to simplify sums involving products of two binomial coefficients.
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