For a system with n > 2 particles, the multi-particle basis states become n -fold tensor products of one-particle basis states, and the coefficients of the wavefunction A ( x 1 , x 2 , … … , x n ) are identified by n one-particle states. The condition of antisymmetry states that the coefficients must flip sign whenever any two states are exchanged: A ( … … , x i , … … , x j , … … ) = − − A ( … … , x j , … … , x i , … … ) for any i ≠ ≠ j . The exclusion principle is the consequence that, if x i = x j for any i ≠ ≠ j , then A ( … … , x i , … … , x j , … … ) = 0. This shows that none of the n particles may be in the same state.