nCr=nCn−r{ }^{n} C_{r}={ }^{n} C_{n-r}nCr=nCn−r
nCr+nCr−1=n+1Cr{ }^{n} C_{r}+{ }^{n} C_{r-1}={ }^{n+1} C_{r}nCr+nCr−1=n+1Cr
nPr=n!(n−r)!{ }^{n} P_{r}=\frac{n !}{(n-r) !}nPr=(n−r)!n!
nCr+nPr=nPn{ }^{n} C_{r}+{ }^{n} P_{r}={ }^{n} P_{n}nCr+nPr=nPn