This discussion focuses on the need for high school resources on permutations and combinations (P&C). Key topics include the Fundamental Principle of Counting, Factorial Notation, Permutations, Combinations, and the Multinomial Theorem. Participants suggest using Khan Academy for concise explanations and mention David Morin's probability book as a potential resource, although it may be too verbose for high school students. The curriculum allows for a maximum of 10-15 days to cover each topic, emphasizing the need for efficient learning materials.
PREREQUISITESHigh school students, mathematics educators, and anyone seeking to strengthen their understanding of permutations and combinations in preparation for exams or advanced studies.
sahilmm15 said:But I found out that my mental energy drains at a very rapid rate. I wake up with full energy but after few hours of physics or math it becomes almost 0. Even if I want to continue I cannot continue.
Well, few days ago I was asking problems about PMI( I am clear with it.) now I am asking questions about P and C on this forum, that's why I asked you about some material. Our curriculum is such that for a topic to complete we need a maximum of 10-15 days. In physics I am doing now ( NLM , before electrostatics). So we don't go too deep. To give you a sense of what do we need to study. I am giving you some sub topicsVanadium 50 said:Given that, are you sure you want to start another topic now? Maybe you should wait until you are done with something else.
I think this information is found in a book on introduction to Probability Theory. A bit too deep for high school students. Personally, I have never seen a good explanation in a high school resource. Maybe try KHAN Academy or something of that sort. Do you have specific problems?sahilmm15 said:Well, few days ago I was asking problems about PMI( I am clear with it.) now I am asking questions about P and C on this forum, that's why I asked you about some material. Our curriculum is such that for a topic to complete we need a maximum of 10-15 days. In physics I am doing now ( NLM , before electrostatics). So we don't go too deep. To give you a sense of what do we need to study. I am giving you some sub topics
1. Fundamental Principle of Counting.
2.Factorial notation.
3.Permutation( No of thing taken r at a time, all at a time , etc ...)
4. Combinations.
5. Circular Permutations.
6. Clockwise and anticlockwise arrangements.
6.Division and distribution.
7. Multinomial Theorem.
8.Principle of inclusion and exclusion.
9. De arrangement theorem.
That's all. I would go deep in problems, but need a good source for concepts.