7 Bites Of Combinatorics

7 Bites Of Combinatorics
Published 5/2025
MP4 | Video: h264, 1920×1080 | Audio: AAC, 44.1 KHz

Learn combinatorics through 7 crisp bites in this course with coding in Python

What you’ll learn

Arrangements and permutations of elements. Selecting groups of elements.

Counting arrangements and combinations of elements with-replacement and without-replacement.

Circular permutations.

Exploration of combinatorics based on set theory.

Combinatorics in Python.

Requirements

Basic mathematics, familiarity with number system, set theory.

Basic proficiency in working with computer.

Familiarity with Python syntax can be helpful, although not mandatory.

Pen, notebook for keeping notes, performing tasks and exercises.

Description

Overview

Section 1: Bite I • Intuition of Counting Methods

Lecture 1 Necessity of Combinatorics

Lecture 2 Counting Arrangements and Permutations of Unique Elements

Lecture 3 Counting Arrangements – Exercise Solution

Section 2: Bite II • Concept of Combinations

Lecture 4 Combinations without Replacement

Lecture 5 Combinations with Replacement

Section 3: Bite III • Permutations and Combinations in Multiset

Lecture 6 Combinations of Elements in Multiset

Lecture 7 Permutations of Elements in Multiset

Section 4: Bite IV • Arrangements and Permutations in Circular Manner

Lecture 8 Circular Permutations

Lecture 9 Circular Arrangements with Repeated Elements

Lecture 10 Counting Tasks – Exercise Solution

Section 5: Bite V • Inclusion-Exclusion Principle

Lecture 11 Usage of Inclusion-Exclusion Principle

Lecture 12 Inclusion-Exclusion Principle – Exercise Solution

Section 6: Bite VI • Combinatorics based on Set Theory

Lecture 13 Stirling Numbers of 1st Kind

Lecture 15 Stirling Numbers of 2nd Kind

Section 7: Bite VII • Combinatorics in Python

Lecture 16 Initiating Python Programming Environment

Machine learning enthusiasts who are willing to build a solid foundation in combinatorics.,Curious computer scientists and IT professionals.,School and undergraduate students eager to deepen their understanding of combinatorics.