n+1Cr{ }^{n+1} C_{r}n+1Cr
nCr+1{ }^{n} \mathrm{C}_{\mathrm{r}+1}nCr+1
n+1Cr−1{ }^{n+1} C_{r-1}n+1Cr−1
(n+1)!r!\frac{(n+1) !}{r !}r!(n+1)!