Lectures related to Counting: Combinations and Permutations

Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.

Introduces probability, statistics, distributions, inference, likelihood, and combinatorics for studying random events and network modeling.

Covers the main rules of counting for combinatorial objects and introduces various counting techniques.

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

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

Covers symmetric groups, transpositions, sign of a permutation, and conjugacy classes in permutations.