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Нехай n і r – невід’ємні цілі, r \leq n . Тоді C_{n}^{r}=
C_{r-1}^{r}+C_{r-1}^{n-1}
C_{n}^{n-r}
C_{n-1}^{r}+C_{n-1}^{r-1}
C_{r}^{n-r}
C_{r}^{r-1}+C_{n-1}^{r-1}
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