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Counting: Permutations and Combinations
Covers permutations and combinations with and without repetition, including examples with letters, fruits, bills, and equations.
Enumeration: Counting Subsets
Covers the concept of enumeration and counting subsets of a finite set with examples and factorial notation.
Advanced Counting: Examples
Covers advanced counting techniques, including linear recurrence relations and generating functions, with examples from the Fibonacci sequence and differences between dice and poker cards.
Linear Algebra: Sets and Subsets
Explores sets and subsets in linear algebra, emphasizing counting elements and subsets.
Counting, Recording: Summary
Summarizes counting principles, rules, and theorems in combinatorics with examples.
Combinatorial Mathematics
Explores combinatorial mathematics, covering permutations, combinations, and binomial coefficients, along with probability and statistics concepts.
Linear Applications and Span
Introduces linear applications, span, kernels, and images in vector spaces with illustrative examples and theorems.
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