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...The first one, subsets(), returns a matrix whose rows are all sets of size r from the set of size n given by the vector v. The second one, Subsets(), is a more involved version of the same thing but can be much more efficient if you are dealing with large sets (but not too large!) The third one, nextSubset(), is designed to be called in a loop and returns the next subset from the entire set arranged in lexicographic order. This is for the case when you are working your way through the subsets one at a time in a loop, anyway. There is, however, a serious catch. The second and third functions are S-...