If we can tell which particle is which, there are 2 N different configurations, since each particle can be in | 0 ⟩ ⟩ or | 1 ⟩ ⟩ independently. In almost all of the configurations, about half the particles are in | 0 ⟩ ⟩ and the other half in | 1 ⟩ ⟩ . The balance is a statistical effect: the number of configurations is largest when the particles are divided equally.