Question about partially ordered sets and how to order them?

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If I had a partially ordered set (E, ≤) where E = {1,2,3}, how would I order it? In other words, if I wanted to show the set, would I need to conform to the definition of ≤? So would it be {(1,2), (1,3), (1,1), (2,2), (3,3)} since 1 ≤ 2 and 3 and 1 ≤ 1, 2 ≤ 2, and 3 ≤ 3. Would this also mean that (3,1) would not appear since 3 is not less than 1? Or does the definition not matter?