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Combinatorics
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Combinatorics
by Dr. L. Sunil Chandran

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....

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level English
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Program Fee
FREE
About This Course

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....


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Course Curriculum
5 Sections | 41 Lecture | 39h 22min total length
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Combinatorics

Pigeon hole Principle

| 03h 54min total length
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    Pigeon hole principle - (Part 1)

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    Pigeon hole principle - (Part 2)

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    Pigeon hole principle - (Part 3)

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    Pigeon hole principle - (Part 4)

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Combinatorics

Elementary Concepts

| 11h 43min total length
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    Elementary concepts and basic counting principles

    57m <?php echo $alt; ?>
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    Elementary concepts; Binomial theorem; Bijective proofs - Part (1)

    59m <?php echo $alt; ?>
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    Bijective proofs -- Part (2)

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    Bijective proofs - Part (3); Properties of bin

    59m <?php echo $alt; ?>
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    Combinatorial identities - Part (2); Permuta

    59m <?php echo $alt; ?>
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    Permutations of multisets -- Part (2)

    59m <?php echo $alt; ?>
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    Multinomial Theorem, Combinations of Multisets

    57m <?php echo $alt; ?>
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    Combinations of Multisets - Part (2)

    56m <?php echo $alt; ?>
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    Combinations of Multisets -- Part (3), Bounds

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    Sterling's Formula, Generalization of Bino

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    Generalization of Binomial coefficients - Part (2)

    57m <?php echo $alt; ?>
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    Generalization of Binomial coefficients - Part (3); Double counting - Part (1)

    59m <?php echo $alt; ?>
Combinatorics

Some Techniques

| 05h 53min total length
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    Double counting - Part (2)

    59m <?php echo $alt; ?>
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    Hall's Theorem for regular bipartite graph

    59m <?php echo $alt; ?>
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    Inclusion exclusion principle - Part (2)

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    Inclusion exclusion principle - Part (3)

    57m <?php echo $alt; ?>
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    Inclusion exclusion principle - Part (4)

    59m <?php echo $alt; ?>
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    Inclusion exclusion principle - Part (5)

    58m <?php echo $alt; ?>
Combinatorics

Recurrence relations and generating functions

| 10h 44min total length
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    Recurrence Relations - Part (1)

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    Recurrence Relations - Part (2)

    56m <?php echo $alt; ?>
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    Recurrence Relations - Part (3)

    58m <?php echo $alt; ?>
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    Recurrence Relations - Part (4)

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    Recurrence Relations - Part (5)

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    Generating functions - Part (1)

    59m <?php echo $alt; ?>
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    Generating functions - Part (2)

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    Solving recurrence relations using generating functions - Part (1)

    59m <?php echo $alt; ?>
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    Solving recurrence relations using generating functions - Part (2)

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    Exponential generating functions - Part (1)

    59m <?php echo $alt; ?>
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    Exponential generating functions - Part (2), Partition Number - Part (1)

    57m <?php echo $alt; ?>
Combinatorics

Special numbers

| 07h 06min total length
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    Partition Number - Part (2)

    58m <?php echo $alt; ?>
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    Partition Number - Part (3)

    56m <?php echo $alt; ?>
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    Partition Number - Part (4); Catalan Numbers - Part (1)

    58m <?php echo $alt; ?>
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    Catalans Numbers - Part (2)

    57m <?php echo $alt; ?>
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    Catalan Numbers - Part (3), Sterling numbers of the 2nd kind

    58m <?php echo $alt; ?>
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    Difference Sequences

    59m <?php echo $alt; ?>
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    Sterling Numbers

    59m <?php echo $alt; ?>
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    Summary

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