Exclusion principle and indistinguishability of identical particles in quantum mechanics

The relation between the Pauli exclusion principle and the principle of indistiguishability of identical particles in quantum mechanics is discussed. Using the density matrix determined for states with random permutational symmetry, it has been shown that the particle indistinguishability takes place only for onedimensional representations of the permutation group whereas in all states which are degenerated over permutations the particles are distinguishable. Thus it has been shown that the exclusion principle follows from that of indistinguishability of identical particles