实际应用中有哪些有趣的排列组合问题？——基于知识点的案例教学

What Are Some Interesting Permutation and Combination Problems in Practice?—Case Teaching Based on Knowledge Points

摘要: “概率论与数理统计”学习的一个重要目标是：培养学生用概率与数理统计的数学思想分析和解决实际问题的能力。而有效的教学案例是引导学生思考、分析、创新的重要途径。本文针对“概率论与数理统计”中的排列组合问题，以实际生活中具体且有趣的例子说明了其应用，且给出了古典概型问题具体清晰的计算，着重说明了排列组合可以解决真实生活问题，在实际生活中有非常重要的应用。

Abstract: An important goal of “probability theory and mathematical statistics” is to cultivate students’ ability to analyze and solve practical problems with the mathematical ideas of probability and mathematical statistics. Effective teaching cases are an important way to guide students to think, analyze and innovate. In this paper, in view of the permutation and combination problem in “probability theory and mathematical statistics”, the application of permutation and combination is illustrated with specific and interesting examples in real life, and the specific and clear calculation of classical probability problem is given clearly and specifically. It is emphasized that permutation and combination can solve real-life problems, and has very important applications in daily life.