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突破“排列与组合”难点探讨
引用本文:何丽亚.突破“排列与组合”难点探讨[J].西昌学院学报(自然科学版),2012(2):151-153.
作者姓名:何丽亚
作者单位:四川民族学院, 四川 康定 626001
基金项目:四川省高等教育教学改革重点项目——“民族预科数学教育教学研究”【川教函〔2011〕512号(编号Z11176)】成果之一
摘    要:排列和组合是概率论、统计学、经济管理学等学科的必备知识。本文针对学习、研究应用"排列与组合"的理论难点,归纳了相应的突破方法:判定是"排列"还是"组合"问题其关键看对象与顺序是否有关;判断是应用加法原理还是乘法原理其关键看"依次"还是"任选";分析了"排列"、"组合"问题的基本类型及解析。为经济管理、统计研究、概率论学习提供一些理解和探究的路径。

关 键 词:排列组合  判断解析  难点突破

A Probe into Breaking Through the Difficulties of Permutation and Combination
HE Li-ya.A Probe into Breaking Through the Difficulties of Permutation and Combination[J].Journal of Xichang College,2012(2):151-153.
Authors:HE Li-ya
Institution:HE Li-ya(Sichuan Universities for Nationalities,Kangding,Sichuan 626001)
Abstract:Permutation and combination are the essential knowledge in such subjects as probability theory,statistics and economic management.Based on the theoretical difficulties of studying,researching and applying permutation and combination,corresponding breakthrough methods are induced:Judging whether the problem is on permutation or combination,it is the key to look at whether the object is related to the sequence or not;Judging whether the addition principle or the multiplication principle is applied,and it is crucial to look at whether it is a successive or optional problem.Meanwhile,the basic types and their analysis related to permutation and combination problems are analyzed.These are done to provide some understanding and ways to explore for economic management,statistic research and the study of probability theory.
Keywords:Permutation and combination  Judgment and analysis  Difficulties and breakthrough
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