Chapter 29 of 42
Revision Notes
Permutation and Combination — Revision Notes
JEE Advanced · Mathematics
Free Permutation and Combination revision notes for JEE Advanced Mathematics 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Permutation and Combination for JEE Advanced Mathematics preparation.
Key Topics to Revise
1
Fundamental Principles of Counting
- Multiplication Rule: If work A can be done in m ways and work B in n ways, then both works together can be done in m × n ways
- Addition Rule: If work A can be done in m ways and work B in n ways (mutually exclusive), then either work can be done in (m + n) ways
- These principles form the foundation for all permutation and combination problems
2
Factorial Notation
- n! = n × (n-1) × (n-2) × ... × 3 × 2 × 1
- By convention, 0! = 1
- Factorial is used extensively in permutation and combination formulas
3
Permutations
- Permutation deals with arrangements where order matters
- ⁿPᵣ represents permutations of n objects taken r at a time
- When repetition is allowed: nʳ arrangements possible
4
Combinations
- Combination deals with selection where order doesn't matter
- ⁿCᵣ represents combinations of n objects taken r at a time
- ⁿCᵣ = ⁿCₙ₋ᵣ (symmetric property)
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Key Concepts
Multiplication Rulen! = 1 × 2 ×nPr = n!/(nWhen n objects have pObjects together
Frequently Asked Questions
What topics are covered in Permutation and Combination for JEE Advanced?
Permutation and Combination is an important chapter in JEE Advanced Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Fundamental Principles of Counting, Factorial Notation, Permutations, Combinations.
How important is Permutation and Combination for JEE Advanced?
Permutation and Combination is a frequently tested chapter in JEE Advanced Mathematics. Questions from this chapter appear regularly in previous year papers. There are 82 practice questions available for this chapter.
How to prepare Permutation and Combination for JEE Advanced?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.
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