论文部分内容阅读
先研究简单情形:不定方程x1+x2+x3= 10…①的正整数解的组数． 此问题可以直观地理解为:将十个相同的 小球,放入三个编了号的盒子中,要求每个盒 子不空的投放方法种数． 这不同于高中教材中介绍的普通组合问 题,但又十分常见．
First study the simple case: the number of positive integer solutions of the indefinite equation x1+x2+x3=10...1. This problem can be intuitively understood as follows: Put ten identical balls into three numbered boxes and ask how many kinds of boxes each box is not empty. This is different from the common combination of high school textbooks, but it is very common.