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Using Complement on two lists could be used as follows: Complement[l1, l2] == {} True If you have more than one list, for example, l1 = {a, b, c}; l2 = {b, c, a}; l3 = {c, b, z}; you could also implement it with Tuples and compare the lists pairwise: ((Complement @@ #) == {}) & /@ Tuples[{l1, l2, l3}, 2] {True, True, False, True, True, ...

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