comprehend of the basic ideas and methods to handle random events,and develop the ability to use probability theory to analyze and solve practical problems This course is mainly taught in class,with an emphasis on the basic ideas of probability, and a target to master the basic probability methods and to develop basic computational ability,analytical ability and problem-solving ability as well.Meanwhile,the students should gain some knowledge on the history of combinatorial analysis and probability. particularly on the contribution of Chinese mathematicians on these fields.And they should leam some philosophy of living that reflected in the laws and theorems of probability theory. 4.Content and Requirements Module 1 Combinatorial Analysis (1)Purpose and Requirements 1.To comprehend the basic concepts of permutation and combination 2.To master the basic principle of counting 3.To comprehend the idea and theorem of multinomial coefficients (2) Contents 1.Main Content:Basic principle of counting,permutations,combinations, multinomial coefficients 2.Basic Concepts and Knowledge Points:The basic principle of counting the concept of permutation and combination.the multinomial theorem 3.Problems and Application (Ability Requirements):Application of techniques to solve counting problems on permutation and combination (3)Thinking and Practice Use the basic idea of permutation and combination counting to solve some real-world counting problems.Ideological and political education:introduction of great Chinese in combinatorial analysis:Hui Yang.Shanlan Li.2 comprehend of the basic ideas and methods to handle random events, and develop the ability to use probability theory to analyze and solve practical problems. This course is mainly taught in class, with an emphasis on the basic ideas of probability, and a target to master the basic probability methods, and to develop basic computational ability, analytical ability and problem-solving ability as well. Meanwhile, the students should gain some knowledge on the history of combinatorial analysis and probability, particularly on the contribution of Chinese mathematicians on these fields. And they should learn some philosophy of living that reflected in the laws and theorems of probability theory. 4、Content and Requirements Module 1 Combinatorial Analysis (1) Purpose and Requirements 1．To comprehend the basic concepts of permutation and combination 2．To master the basic principle of counting 3．To comprehend the idea and theorem of multinomial coefficients (2) Contents Section 1 1．Main Content: Basic principle of counting, permutations, combinations, multinomial coefficients 2．Basic Concepts and Knowledge Points: The basic principle of counting, the concept of permutation and combination, the multinomial theorem 3．Problems and Application (Ability Requirements): Application of techniques to solve counting problems on permutation and combination (3) Thinking and Practice Use the basic idea of permutation and combination counting to solve some real-world counting problems. Ideological and political education: introduction of great Chinese in combinatorial analysis: Hui Yang, Shanlan Li