Counting: Permutations and Combinations

Related lectures (37)

Covers permutation, combination, and the pigeonhole principle in counting problems.

Covers the concept of enumeration and counting subsets of a finite set with examples and factorial notation.

Covers the concepts of combinations and permutations in counting scenarios.

Explores sets and subsets in linear algebra, emphasizing counting elements and subsets.

Explores the reasons behind the abundance of saddle points in deep learning optimization, emphasizing statistical and geometric arguments.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Explores the algebraic properties of the cross product and its linearity.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Explores combinatorial mathematics, covering permutations, combinations, and binomial coefficients, along with probability and statistics concepts.

Covers preservation, substitution, weakening, and sequencing in type systems.

Explores properties of matrices, irreducibility, and graph connectivity in networked control systems.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Explores the Steinitz Lemma and the concept of cycles in linear algebra.

Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.

Explores the Symmetric group, cycle notation, multiplication, the sign of a permutation, and the Alternating group.

Introduces algebraic structures essential for understanding mathematical objects used in science and engineering.

Explores the special linear group, matrix properties, and determinant theorems.

Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.

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