combinatorics formulae

$ \begin{array}{|c|c|c|c|c|} \hline \textbf{Case} & \textbf{Notation} & \textbf{Order Matters} & \textbf{Repetition Allowed} & \textbf{Formula} \\ \hline \text{Permutation (no repetition)} & {}_{n}P_{k} & \text{Yes} & \text{No} & \dfrac{n!}{(n-k)!} \\ \hline \text{Permutation (with repetition)} & \text{---} & \text{Yes} & \text{Yes} & n^k \\ \hline \text{Combination (no repetition)} & {}_{n}C_{k} \ (\text{or } \binom{n}{k}) & \text{No} & \text{No} & \dfrac{n!}{k!(n-k)!} \\ \hline \text{Combination (with repetition)} & \text{---} & \text{No} & \text{Yes} & \binom{n+k-1}{k} \\ \hline \end{array} $