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所在平台: Udemy |
课程主页: https://www.udemy.com/course/permutation-and-combinations/
课程评论：没有评论
**Coursera课程《掌握排列组合》内容摘要** 本课程旨在帮助学习者深入理解并掌握排列组合（Permutation and Combination）的计数方法，这是许多竞争性考试中的热门考点，涵盖了不同难度的题目。 课程认识到，当样本空间增大时，手动计数容易出错，例如重复计数或遗漏情况。通过本课程，学习者将学会如何准确地识别和避免这些错误。 课程被划分为八个部分，每个部分包含多个讲座。每个讲座都会介绍核心概念和定理，并辅以丰富的实例进行讲解。课程的教学方法注重**问题解决**，而非晦涩的术语。 **课程主要内容包括：** 1. **基本计数原理（Fundamental Counting Principle）** 2. **组合（Combination）及其定理** 3. **排列（Permutation）及其定理** 4. **容斥原理（Inclusion Exclusion Principle）** 5. **双射原理（Bijection Principle）** 6. **常用恒等式（Useful Identities）** 7. **使用生成函数（Generating Functions）进行计数** 每个章节学习结束后，都配有相应的练习题，建议学习者在进入下一章节前完成练习，以巩固所学知识。此外，课程提供问答（Q&A）环节，供学习者解决课程中的疑问。 本课程致力于提供一种清晰、实用的学习体验，帮助学习者在排列组合问题上取得进步。
Permutations and combination is the most popular chapters in syllabus of competitive exams. Too many exams asks its problems at different level.There are many ways to count things. When the sample space is small, you can literally count on fingers. But when the number of sample point go beyond thousand, we tend to forget or recount some cases. Even after verifying we tend to ignore those mistakes. This course on permutations and combinations will make sure that you do understand which case you are counting more than once or which case you are missing. I have divided this Course into 8 sections and lectures inside each sections. Each lecture will teach you about a concept and theorem followed by examples on those concepts. I have made sure that my approach is problem solving and not jargon. Following are the sections1) Fundamental Counting Principle 2) Combination and Theorems 3) Permutations and theorems4) Inclusion Exclusion Principle5) Bijection Principle6) Useful Identities7) Counting using Generating functions Each Subsection will have a set of video lectures followed by Assignments based on what is being taught in the section. Attempting Assignment before moving to another section will be beneficial. Any doubts regarding the course can be asked in Q & A. I hope you enjoy the course,All the best
