组合问题中生成函数的应用

The Aplication of Generating Function in Combination Question

生成函数在组合问题中的应用既灵活又具有一定的广泛性，掌握生成函数的构造方法可以帮助学生提高其数学思维能力及解决实际问题的能力，文章总结了生成函数在组合问题的几种常见用法。

The applications of generating function in combination question are both flexible and widespread. Mastering the construction methods can not only help students improve their thinking abilities in methematics but also improve their abilities of solving practical problems. In this paper we summarize several uses of generating function in combination question.