The purpose of these notes is to clarify some aspects of the derivation of the Bose–Einstein distribution for beginners. The enumeration of cases (or ways) in the Bose–Einstein distribution can be recast as follows. Consider a game of dice throwing in which there are n dice, with each die taking values in the set { 1 , … … , g } , for g ≥ ≥ 1 . The constraints of the game are that the value of a die i , denoted by m i , has to be greater than or equal to the value of die ( i − − 1 ) , denoted by m i − − 1 , in the previous throw, i.e., m i ≥ ≥ m i − − 1 . Thus a valid sequence of die throws can be described by an n -tuple ( m 1 , m 2 , … … , m n ) , such that m i ≥ ≥ m i − − 1 . Let S ( n , g ) denote the set of these valid n -tuples: