Advanced Counting: Combinatorial Proofs

In course

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Description

This lecture covers advanced counting techniques, including combinatorial proofs such as bijection and double counting. It explores the application of recurrence relations to solve counting problems, with examples on permutations and bit strings. The Generalized Pigeonhole Principle is discussed, along with Pascal's Identity and the Binomial Theorem.

Official source

https://mediaspace.epfl.ch/media/0_z48p02bm

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Ontological neighbourhood

Mathematics

Mathematical logic: Set theory

Algebra: Abstract algebra, Representation theory

Analysis: Complex analysis

Computer engineering

Social networks: Social media

Logic

Classical logic: First-order logic

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