Скачать или смотреть Combinatorics : Introduction, Permutation and Combination, Binomial theorem | Discrete Structure

Combinatorics : Introduction, Permutation and Combination, Binomial theorem | Discrete Structure

In this video, we cover the fundamentals of Combinatorics, an essential topic of Discrete Structure / Discrete Mathematics used in Computer Science, probability, algorithms, and competitive exams (GATE, SSC, Banking).

Discrete Structure BTech 2nd Year | RGPV Bhopal | Discrete Structure Course 2025:    • Discrete Structure BTech 2nd Year | RGPV B...  

🔹 Topics Covered
1. Introduction to Combinatorics

Meaning and scope of combinatorics

Counting principles

Addition rule & multiplication rule

Factorials and basic counting techniques

2. Permutations

Definition of permutation

Arrangement of objects

Formula: nPr = n! / (n–r)!

Circular permutations

Repetition allowed / not allowed

Conceptual examples

3. Combinations

Definition of combination

Selection of objects

Formula: nCr = n! / r!(n–r)!

Relation between permutation & combination

Solved examples

4. Binomial Theorem

Expansion of (a + b)^n

General term of binomial expansion

Middle term(s)

Binomial coefficients & Pascal’s triangle

Applications of binomial theorem

This lecture is ideal for B.Tech, BCA, MCA, B.Sc CS, RGPV, AKTU, GTU, PTU and all CS/Maths courses.

Simple explanation + Exam-focused + Perfect for class notes.

combinatorics, permutation, combination, binomial theorem, discrete structure, discrete mathematics, nPr, nCr, factorial, counting principle, pascal triangle, binomial expansion, combinatorics basics, rgpv discrete structure, btech discrete maths, bca discrete mathematics, computer science combinatorics

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