A polynomial in 3 (commuting) variables which only gives 2 distinct polynomials (including itself) on permuting variables

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This is a question from Oxford. I am stuck at last part. It says that every divisor of n! occurs when n=3 so that includes 2 but i cant find a polynomial in 3 (commuting) variables which only gives 2 distinct polynomials (including itself) on permuting variables