(a) Construct the completely antisymmetric wave function ψ (xA, xB, xC) for three identical fermions, one in the state ψ5, one in the state ψ7, and one in the state ψ17.
(b) Construct the completely symmetric wave function ψ (xA, xB, xC) for three identical bosons, (i) if all three are in state ψ11, (ii) if two are in state ψ1 and one is in state ψ19, and (iii) if one is in the state ψ5, one in the state ψ7, and one in the state ψ17.
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