IITJEE Mains • Mathematics New Syllabus
Module 04: Permutations & Combinations Hub
Master the art of counting without counting. Explore fundamental principles, linear and circular arrangements, selection rules, grouping, and geometrical applications.
Topic 1.1 • Counting Basics
Fundamental Principles of Counting: Rules of Addition and Multiplication
Topic 1.2 • Arrangements
Factorial Notation, Linear Permutations (ⁿPᵣ), and Arrangements of Identical Objects
Topic 2.1 • Selections
Combinations (ⁿCᵣ), Properties of Binomial Coefficients, and Restricted Selections
Topic 2.2 • Circular Forms
Circular Permutations, Garlands & Necklaces, and Seating Arrangements
Topic 3.1 • Grouping
Division and Distribution of Distinct and Identical Objects into Groups
Topic 3.2 • Advanced Counting
Principle of Inclusion & Exclusion, Derangements, and Subfactorial Notation
Topic 4.1 • Geometry
Geometrical Applications: Counting Straight Lines, Triangles, Diagonals, and Intersections
Topic 4.2 • Practical Applications