The paradox is resolved by postulating that the gas particles are in fact indistinguishable. This means that all states that differ only by a permutation of particles should be considered as the same state. For example, if we have a 2-particle gas and we specify AB as a state of the gas where the first particle (A) has momentum p 1 and the second particle (B) has momentum p 2, then this state as well as the BA state where the B particle has momentum p 1 and the A particle has momentum p 2 should be counted as the same state.