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Four Basic Combinatorial Counting Problems in Data Structures - Math Foundations 162

Offered By: Insights into Mathematics via YouTube

Tags

Combinatorics Courses Set Theory Courses Data Structures Courses Mathematical Analysis Courses Multisets Courses

Course Description

Overview

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Explore the four fundamental combinatorial counting problems associated with lists, ordered sets, multisets, and sets in this 28-minute mathematics lecture. Learn how to calculate the number of k-lists from n elements, understand the differences between counting ordered sets and regular sets, and delve into the more challenging task of counting multisets. Gain insights into specific examples such as Mset(5,3) and Mset(1,1,5), and discover techniques for determining the size of a multiset. Enhance your understanding of data structures in mathematics and their applications in combinatorial analysis.

Syllabus

Introduction
Listn,k
Counting ordered sets
Counting set n,k
Counting Msetn,k
Mset5,3
Mset1 1 5
Counting the size of an Mset


Taught by

Insights into Mathematics

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