I've seen some people describe the $n^r$ permutation formula (where you can use the same option more than once) as "Permutation with Repetition". Yet some others describe the $$\frac{n!}{(n - r)! k!}$$ (where you have an option repeated more than once) as "Permutation with Repetition".
For the second one, I'm referring to a scenario like this: https://www.ck12.org/probability/permutations-with-repetition/lesson/Permutations-with-Repetition-BSC-PST/
What exactly is the common/standard way to name these $2$ formulas/scenarios?