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- https://math.libretexts.org/Courses/Florida_SouthWestern_State_College/MGF_1131%3A_Mathematics_in_Context__(FSW)/03%3A_Counting_and_Probability/3.01%3A_The_Multiplication_Rule_for_CountingThis section explains the Multiplication Rule for Counting, a method for calculating probabilities and combinations through examples like cupcake counting and creating IDs. It generalizes this approac...This section explains the Multiplication Rule for Counting, a method for calculating probabilities and combinations through examples like cupcake counting and creating IDs. It generalizes this approach for various scenarios, including password and license plate combinations with specific repetition rules. The text also presents exercises for practice and problem-solving in different contexts, such as making meals and belts, emphasizing the utility of multiplication in simplifying counting tasks.
- https://math.libretexts.org/Courses/Florida_SouthWestern_State_College/MGF_1131%3A_Mathematics_in_Context__(FSW)/03%3A_Counting_and_Probability/3.02%3A_PermutationsThis section covers permutations, focusing on their calculation through the Multiplication Rule for Counting and factorials. It provides various examples, including Olympic swimming heats and roles fo...This section covers permutations, focusing on their calculation through the Multiplication Rule for Counting and factorials. It provides various examples, including Olympic swimming heats and roles for students, to illustrate applications and the importance of order in permutations. The text explains permutations of identical items and includes exercises for practice. Additionally, it mentions that the page contains questions from MyOpenMath, which is under a Creative Commons license.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/04%3A_Relations
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/01%3A_Basics/1.05%3A_Combinatorics-_First_CountsThis page introduces combinatorics, focusing on counting and key terms like "alphabet," "string," and "permutation." It defines "string" as an ordered set of characters and explains "permutation" as a...This page introduces combinatorics, focusing on counting and key terms like "alphabet," "string," and "permutation." It defines "string" as an ordered set of characters and explains "permutation" as any arrangement of those characters. The text provides examples and includes practice checkpoints for generating strings and permutations of varying lengths and characters.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_MathematicsCombinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probabilit...Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, and combinatorics also has many applications in mathematical optimization, computer science, ergodic theory and statistical physics.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Combinatorics_Through_Guided_Discovery_(Bogart)This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “co...This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem.
- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_220_Discrete_Math/7%3A_Combinatorics
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/A_Spiral_Workbook_for_Discrete_Mathematics_(Kwong)/08%3A_Combinatorics
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/03%3A_Functions
