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有关排列组合的应用题形式多样,牵涉的知识面广,思考性较强,解题结果的检验较困难,所以在中学数学中是一个难点。为了使学生学好这部分知识,可以通过例题介绍给学生一些基本的解题思路。现就一些基本的解题思路,举例说明如下: 1.区分是排列问题还是组合问题排列组合的应用题首先要区分是排列问题还是组合问题。区分的方法可以这样:任意确定一种选择结果,然后交换其中的元素,不发生新的变化则与顺序无关,就是组合问题;如果发生新的变化则与顺序有关,就是排列问题。例题:“全班40名同
The arrangement of the application form a variety of topics, involving a wide range of knowledge, strong thinking, problem-solving test more difficult, so in high school mathematics is a difficult point. In order to enable students to learn this part of the knowledge, students can introduce some basic problem solving ideas through examples. Here are some basic ideas for solving problems, for example as follows: 1 distinction is the arrangement of questions or combination of questions arranged combination of application questions should first distinguish between the arrangement or the combination of problems. The method of differentiation can be: arbitrarily determine a choice of results, and then exchange the elements therein, is not the order of the new changes do not occur, is the combination of problems; if the new changes are related to the order, is the arrangement of the problem. Example: "The same class of 40