上游充通大粤 SHANGHAI JIAO TONG UNIVERSITY Example 1.Four balls in two boxes Table 10.1 Distributions of Four Spheres(A,B,C,and D)in Two Boxes I and II Macrostate: stating the total number of particles in each box yields Microstate: BCD each way of realizing a given ACD macro distribution 0Co0C000 ABD Each macrostate may be realized by ABCD a number of Box I 2 1 3 microstates Box IL 2 2 6 4 微观状态数！
Example 1. Four balls in two boxes
上浒充通大率 SHANGHAI JIAO TONG UNIVERSITY N! ① 二 N!:N factorial N!Nu! w the total number of all the microstates 排列组合问题：N个粒子全排列， 去掉各箱子中粒子全排列 If we have i boxes: AO TONG N! 0 Π，N (Π，N=N1!N2N)
ω : the total number of all the microstates 排列组合问题：N个粒子全排列， 去掉各箱子中粒子全排列 If we have i boxes: ! ! ! NI NII N ! ! i Ni N ( ! ! !... !) i Ni N1 N2 Ni N!: N factorial