Statistical approach to irreversible processes Nine numbered balls are dr...

Statistical approach to irreversible processes

Nine numbered balls are dropped randomly into three boxes. The numbers of balls falling into each box are labeled n₁, n₂, and n₃. (a) Identify five of the many possible arrangements or macrostates of the balls. (b) Determine the ratio of the count for the equal distribution (n₁ = 3, n₂ = 3, and n₃ = 3) and for the 0, 0, 9 distribution. (c) Determine the ratio of the count for the equal distribution and for the 2, 3, 4 distribution. [Note: The count is given by

where n is the total number of balls.]