Recalling the essays, this is the non-increasing odometer problem
http://www.jsoftware.com/jwiki/Essays/Nonincreasing%20Odometer
I enjoyed the original solutions.
    Subject: [Jprogramming] Generate Complete Graphs
>>>    To: "Programming Forum"<[email protected]>
>>>    Date: Saturday, September 26, 2015, 10:16 PM
>>>
>>>    I have a couple of verbs to represent
>>>    a complete (undirected) graph as a list of edges. Clearly
>>>    there are "N choose 2" edges that need to be generated.

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