suppose you had three particles, one in state va(x), one is state w(x), and one in state uc(x). assuming va, yb, and ψ, are orthonormal, construct the three-particle states [analogous to eqs. (5.15), (5.16) and (5.17)] representing (a) distinguishable particles (b) identical bosons (c) identical fermions. keep in mind that the three-body wave function /(x1,x2, r3) must be com- pletely symmetric under the interchange of any two of the three particles in part (b) and completely antisymmetric under the interchange of any two of them in part (c) hint: there's a cute trick for constructing completely antisymmetric wave func- tions: form the slater determinant, whose first row is a (x),yb(x), e(x), etc. whose second row is /a(x2), t/b(x2), (2), etc., and so on. this procedure works for any number of fermions.