Algebra High school courses on Permutations and combinations

AI Thread Summary
The discussion centers around the need for concise and effective resources on permutations and combinations (P and C) for high school students. The user expresses difficulty in maintaining mental energy during intensive study sessions, particularly in physics and math, and seeks a compact course that covers essential concepts. Specific subtopics of interest include the Fundamental Principle of Counting, factorial notation, permutations, combinations, circular permutations, and the multinomial theorem, among others. Recommendations for resources include Khan Academy and a probability book by David Morin, which is available for free download, although it may be too detailed for high school levels. The user emphasizes the importance of having a solid conceptual foundation before delving into problem-solving.
sahilmm15
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Can you give me some high school papers or courses on p and c . I have a good source for problems but need a concise and compact course covering concepts. Thanks!
 
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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.

Given that, are you sure you want to start another topic now? Maybe you should wait until you are done with something else.
 
Vanadium 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.
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.
 
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.
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?
 
I believe David Morin published a probability book that is free to legally download the PDF. I remember reading it a bit, but it was too verbose for my taste. But it looked like a good book. Maybe have a look at that..
 
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