High school courses on Permutations and combinations

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Discussion Overview

The discussion centers around the request for high school-level resources on permutations and combinations, including a desire for concise courses or papers that cover the relevant concepts. Participants share their experiences and suggestions regarding study materials and the challenges of learning these topics.

Discussion Character

  • Homework-related, Conceptual clarification, Technical explanation

Main Points Raised

  • One participant requests high school papers or courses on permutations and combinations, expressing a need for concise and compact resources.
  • Another participant shares their experience of quickly draining mental energy while studying physics and math, suggesting that the requester might want to wait before starting a new topic.
  • A participant outlines specific subtopics related to permutations and combinations that they need to study, including the Fundamental Principle of Counting, factorial notation, and various types of permutations and combinations.
  • One participant suggests that the information might be found in a book on introduction to Probability Theory, noting that it could be too advanced for high school students and recommending resources like Khan Academy.
  • Another participant mentions a probability book by David Morin that is available for free download, describing it as verbose but potentially useful.

Areas of Agreement / Disagreement

Participants do not reach a consensus on specific resources, and multiple suggestions are offered, indicating a variety of perspectives on suitable materials for studying permutations and combinations.

Contextual Notes

Some participants express uncertainty about the appropriateness of certain resources for high school students, and there is mention of the depth of content in relation to the curriculum.

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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