What would you call a finite collection of unordered objects that are not necessarily distinct? I Just want to know the name for this if there is one because I don't think it satisifies any of the formal definitions for sets, n-tuples, sequences, combinations, permutations, or any other enumerated objects I can think of. _For convenience, I will henceforth use the term $\mathbf{\ set^*}$ with an asterisk to refer to what I described in the title._ As a quick example, let $\mathbf{A}$ and $\mathbf{B\ }$ be $\mathbf{\ set^*}$'s where $$\mathbf{A = \\{3,3,4,11,4,8\\}}$$ $$\mathbf{B = \\{4,3,4,8,11,3\\}}$$ Then $\mathbf{A\ }$ and $\mathbf{\ B\ }$ are equal.

If you're looking for something like a set which may have repeated elements, standard terms are **multiset** or **bag**. See multiset on wikipedia.