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So I understand that fermions are anti-symmetric under exchange, but in the contexts I've seen this explained they were always talking about two particles, or at least two wavefunctions. I'm curious how this works when there are three or more particles. Is any two given pairs of those 3+ particles anti-symmetric under exchange or is it more systematic? Or is it that there's essentially one wavefunction for all the particles (quanta of energy) in one spin and another wavefunction for all the quanta of energy in the other spin such that it's just those two wavefunctions that are anti-symmetric under exchange?

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