Bose’s derivation of the Planck's distribution, his notion of indistinguishability and its quantum counterpart: A comparison

After a brief discussion of the notion of indistinguishabilty introduced by S N Bose in his seminal 1924 paper dealing with the derivation of Planck’s distribution we proceed to discuss its quantum counterpart. We highlight the commonalities and differences between all possible statistics that arise after implementing respective notions of indistinguishabilty in the two scenarios and bring out the role the theory of symmetric functions plays in achieving this objective.