利用母函数求解排列组合问题 |
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引用本文: | 何春,张鹰.利用母函数求解排列组合问题[J].宜宾学院学报,2007,7(6):12-14. |
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作者姓名: | 何春 张鹰 |
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作者单位: | 1. 西华师范大学,计算机学院,南充,637002 2. 四川教育学院,物理系,四川,成都,610041 |
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摘 要: | 母函数是组合数学中非常重要的计数工具.本文摒弃常用的使用加法原则、乘法原则及基本公式求解排列组合的方法,利用母函数对排列组合问题进行了分析和求解.
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关 键 词: | 母函数 指数型母函数 组合 排列 |
文章编号: | 1671-5365(2007)06-0012-03 |
修稿时间: | 2006-12-14 |
Resolving Problems of Permutations and Combinations with Generation Function |
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Authors: | HE Chun ZHANG Ying |
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Institution: | 1. Computer College, China West Normal University, Nanchong 637002, China; 2. Physics Department, Sichuan education College, Chengdu 610041, China |
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Abstract: | Generation Function is a very important count tool in combinatorial mathematics.This article gives up those common methods of solving problems on permutations and combinations with the plus principle,the multiplication principle and some basic formulas,instead,analyzing and solving them with Generation Function. |
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Keywords: | Generation Function Exponential Generation Function Combinations Permutations |
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