- $ C_n^k = \\\frac{{n!}}{{\\\left( {n - k} \\\right)!}}$ (với$ \\\left( {0 \\\le k \\\le n} \\\right)$).
- $ A_n^k = \\\frac{{n!}}{{k!\\\left( {n - k} \\\right)!}}$ (với$ \\\left( {0 \\\le k \\\le n} \\\right)$).
- $ C_{n + 1}^k = C_n^k + C_n^{k - 1}$ (với$ \\\left( {1 \\\le k \\\le n} \\\right)$).
- $ C_{n + 1}^k = C_n^{k + 1}$ (với$ \\\left( {0 \\\le k \\\le n - 1} \\\right)$).