Difference between revisions of "Combinatorics/Introduction"
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== Introductory topics in combinatorics == | == Introductory topics in combinatorics == | ||
The following topics provide a good study in introductory combinatorics. | The following topics provide a good study in introductory combinatorics. | ||
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* [[Venn diagram]] | * [[Venn diagram]] | ||
* [[Permutations]] | * [[Permutations]] | ||
| − | * [[ | + | * [[Casework]] |
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* [[Complementary counting]] | * [[Complementary counting]] | ||
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* [[Constructive counting]] | * [[Constructive counting]] | ||
| + | * [[Overcounting]] | ||
| + | * [[Combinations]] | ||
* [[Committee forming]] | * [[Committee forming]] | ||
| + | * [[Distinguishability]] | ||
| + | * [[Combinatorial identities]] | ||
* [[Pascal's Triangle]] | * [[Pascal's Triangle]] | ||
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== Introductory combinatorics resources == | == Introductory combinatorics resources == | ||
=== Books === | === Books === | ||
| − | * ''the Art of Problem Solving Introduction to Counting and Probability'' by David Patrick [ | + | * ''the Art of Problem Solving: Introduction to Counting and Probability'' by David Patrick ([https://artofproblemsolving.com/store/item/intro-counting details]) |
=== Classes === | === Classes === | ||
| − | * [[AoPS Online School/Introduction to Counting & Probability Course |Introduction to Counting & Probability]] ([ | + | * [[AoPS Online School/Introduction to Counting & Probability Course |Introduction to Counting & Probability]] ([https://artofproblemsolving.com/school/course/catalog/intro-counting information page]) |
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| + | === Videos === | ||
| + | * [https://www.youtube.com/watch?v=t6a4uHEwQnM&list=PLT9bNzqjDoMmMNsMAJ3g7C4ptRnPMMrpT AMC8 Math Competition Preperation Playlist by Sohil Rathi] | ||
| + | * [https://artofproblemsolving.com/videos/counting AoPS Counting & Probability Videos] | ||
== See also == | == See also == | ||
Revision as of 01:58, 4 October 2020
Contents
Introductory topics in combinatorics
The following topics provide a good study in introductory combinatorics.
- Venn diagram
- Permutations
- Casework
- Complementary counting
- Constructive counting
- Overcounting
- Combinations
- Committee forming
- Distinguishability
- Combinatorial identities
- Pascal's Triangle
Introductory combinatorics resources
Books
- the Art of Problem Solving: Introduction to Counting and Probability by David Patrick (details)
