在计数或者概率问题中经常遇到把相同或不同的球按一定的规则放入相同或不同的盒子的计数问题,即分球入盒问题.对于球或盒子数目较少时,会有一些特殊的解法(甚至可以采取枚举出所有情形的方法).本文对于球或盒子数目较大甚至任意数目时,给出球或盒子在相同或不同以及是否允许有空盒共8种情形下的一般结果,并尽可能给出多种解法. Counting or probability problems often encounter the same or different ball according to certain rules into the same or different counting box problem, namely the ball into the box problem. For the ball or a small number of boxes, there will be some special (Even the enumeration of all cases can take the method.) This article for the ball or a large number of boxes or even an arbitrary number, given the ball or box in the same or different and whether to allow an empty box total of eight cases of general Results, and as much as possible to give a variety of solutions.