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I have a question with regards to what I would call a particular object that enumerates the elements of a binomial coefficient. Let me explain the thing first.
Lets say I have 6 elements and I'd like to choose 4 of the stupid things. The binomial coefficient tells me that there are 15 of these groupings. I.e. these:
{{1,2,3,4},{1,2,3,5},{1,2,3,6},{1,2,4,5},{1,2,4,6},
{1,2,5,6},{1,3,4,5},{1,3,4,6},{1,3,5,6},{1,4,5,6},
{2,3,4,5},{2,3,4,6},{2,3,5,6},{2,4,5,6},{3,4,5,6}}
I would like to enumerate over these groupings; and I have an object that does.
My question then is, what would I call the thing that enumerates over those groupings?
Binomial Enumerator?