Chapter 12 of 27
Revision Notes
Permutations And Combinations — Revision Notes
KIITEE · Mathematics
Free Permutations And Combinations revision notes for KIITEE Mathematics 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Permutations And Combinations for KIITEE Mathematics preparation.
Key Topics to Revise
1
Fundamental Principle of Counting
- Two basic principles: Multiplication Principle and Addition Principle
- Multiplication Principle: If first operation can be done in m ways and second in n ways, both together can be done in m × n ways
- Addition Principle: If one operation can be done in m ways OR another in n ways, either can be done in (m + n) ways
2
Factorial Notation and Basic Formulas
- n! = 1 × 2 × 3 × ... × (n-1) × n
- 0! = 1 by definition
- n! is undefined for negative numbers and fractions
3
Permutations
- Permutation is arrangement of objects in definite order
- Order matters in permutations
- ⁿPᵣ represents permutations of n objects taken r at a time
4
Combinations
- Combination is selection of objects where order doesn't matter
- ⁿCᵣ represents combinations of n objects taken r at a time
- Also written as C(n,r) or (n choose r)
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Key Concepts
Two basic principlesn! = n × (nArrangements of objects in a definiteSelection of objects where order doesn'tArrangements in a circle where rotations
Frequently Asked Questions
What topics are covered in Permutations And Combinations for KIITEE?
Permutations And Combinations is an important chapter in KIITEE Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Fundamental Principle of Counting, Factorial Notation and Basic Formulas, Permutations, Combinations.
How important is Permutations And Combinations for KIITEE?
Permutations And Combinations is a frequently tested chapter in KIITEE Mathematics. Questions from this chapter appear regularly in previous year papers. There are 306 practice questions available for this chapter.
How to prepare Permutations And Combinations for KIITEE?
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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