List of tuples without duplicates & repeated values

Given some number nand set of values vals, I want to obtain all the tuples/permutations of size n for the values in vals, but without any repeated tuples. So e.g. n=2 and vals={3,6} should give

 n = 2, vals = {0,1}   --> { {0,0}, {0,1}, {1,1} }  n = 2, vals = {0,1,2} --> { {0,0}, {0,1}, {0,2}, {1,1}, {1,2}, {2,2} }  n = 3, vals = {0,1}   --> { {0,0,0}, {0,0,1}, {0,1,1}, {1,1,1} }  n = 3, vals = {0,1,2} --> { {0,0,0}, {0,0,1}, {0,0,2}, {0,1,1}, {0,1,2}, {0,2,2}, {1,1,1}, {1,1,2}, {1,2,2}, {2,2,2} } 

I’ve tried the following commands:

 n    = 2;  vals = {0, 1};  Tuples[vals, {n}]        (* gives { {0, 0}, {0, 1}, {1, 0}, {1, 1} } *)  Permutations[vals, {n}]  (* gives { {0, 1}, {1, 0} } *)  Subsets[vals, {n}]       (* gives { {0, 1} } *) 

Permutations and Subsets are incomplete. Tuples contains all the right combinations, but also contains duplicates like {0, 1} and {1, 0}. Since I do not care about order, I’d like to remove those.

How do I achieve the behavior of Tuples, but without duplicates?