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Some options: t = Tuples[{1, 2, 3, 4, 5}, {3}]; Reverse /@ Select[t, OrderedQ] Select[t, OrderedQ] ~Reverse~ 2 Select[t, OrderedQ @* Reverse] Select[t, Reverse /* OrderedQ] Select[t, OrderedQ[#, GreaterEqual] &] 6 - Select[t, OrderedQ]



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