Combinatorics - Study24x7

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# Combinatorics

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Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

• Total 5 Modules
• 41 Videos
• Published on 13 June, 2019

## Pigeon hole Principle

• Pigeon hole principle - (Part 1)

58m
• Pigeon hole principle - (Part 2)

58m
• Pigeon hole principle - (Part 3)

59m
• Pigeon hole principle - (Part 4)

59m

## Elementary Concepts

• Elementary concepts and basic counting principles

57m
• Elementary concepts; Binomial theorem; Bijective proofs - Part (1)

59m
• Bijective proofs -- Part (2)

58m
• Bijective proofs - Part (3); Properties of bin

59m
• Combinatorial identities - Part (2); Permuta

59m
• Permutations of multisets -- Part (2)

59m
• Multinomial Theorem, Combinations of Multisets

57m
• Combinations of Multisets - Part (2)

56m
• Combinations of Multisets -- Part (3), Bounds

1h 61 min
• Sterling's Formula, Generalization of Bino

58m
• Generalization of Binomial coefficients - Part (2)

57m
• Generalization of Binomial coefficients - Part (3); Double counting - Part (1)

59m

## Some Techniques

• Double counting - Part (2)

59m
• Hall's Theorem for regular bipartite graph

59m
• Inclusion exclusion principle - Part (2)

59m
• Inclusion exclusion principle - Part (3)

57m
• Inclusion exclusion principle - Part (4)

59m
• Inclusion exclusion principle - Part (5)

58m

## Recurrence relations and generating functions

• Recurrence Relations - Part (1)

58m
• Recurrence Relations - Part (2)

56m
• Recurrence Relations - Part (3)

58m
• Recurrence Relations - Part (4)

58m
• Recurrence Relations - Part (5)

58m
• Generating functions - Part (1)

59m
• Generating functions - Part (2)

59m
• Solving recurrence relations using generating functions - Part (1)

59m
• Solving recurrence relations using generating functions - Part (2)

59m
• Exponential generating functions - Part (1)

59m
• Exponential generating functions - Part (2), Partition Number - Part (1)

57m

## Special numbers

• Partition Number - Part (2)

58m
• Partition Number - Part (3)

56m
• Partition Number - Part (4); Catalan Numbers - Part (1)

58m
• Catalans Numbers - Part (2)

57m
• Catalan Numbers - Part (3), Sterling numbers of the 2nd kind

58m
• Difference Sequences

59m
• Sterling Numbers

59m
• Summary

18m

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