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@VincentTam
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My answer to a deleted question from WayneXMayersX on math.SE

Interpretation of exponentation and permutation

Question

I have $3^3$, can I call it a permutation/permutation with repetition?

As written in here:

Which is easier to write down using an exponent of $r$

Answer

Based on the text in the linked page (1. Permutations with repetition), you may call $3^3$ the number of all possible permutations with repetition of the balls ⚽,⚾,🔮. A permutation with repetition is an element drawn from a set (called sample space) $$\Omega=\{(x,y,z)\mid x,y,z \in \{\unicode{x26BD},\unicode{x26BE},\unicode{x1F52E}\}\}.$$

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