I have multiple operands, say a, b, and c. I want an operator acting on a, b, and c, but the result should be invariant of order of operands (symmetric), and there should be no other pair with same result (unique).
What I tried:
Sum: a+b is symmetric, but 5+3 = 7+1. Similarly, product. I am unable to prove or disprove whether (a+b/ab) has the property I am asking for. Does anybody have any ideas about the function I am looking for?