Permutations and Combinations
CBSE · Class 11 · Applied Mathematics
Quick revision notes for Permutations and Combinations — CBSE Class 11 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Factorial and Basic Counting Principles
- Factorial (n!) = 1 × 2 × 3 × ... × n, where 0! = 1
- Fundamental Principle of Addition: If event E can occur in m ways and event F in n ways (mutually exclusive), total ways = m + n
- Fundamental Principle of Multiplication: If event E can occur in m ways followed by event F in n ways, total ways = m × n
Permutations
- Permutation is arrangement of objects where order matters
- ⁿPᵣ = number of ways to arrange n distinct objects taken r at a time
- When repetition is allowed: nʳ arrangements possible
Combinations
- Combination is selection of objects where order doesn't matter
- ⁿCᵣ = number of ways to select r objects from n distinct objects
- Important property: ⁿCᵣ = ⁿCₙ₋ᵣ
Applications and Problem Solving
- Word formation problems: consider identical letters
- Committee selection: use combinations for selection, permutations for positions
- Geometric problems: points, lines, triangles use combinations
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What are the important topics in Permutations and Combinations for CBSE Class 11 Applied Mathematics?
Permutations and Combinations covers several key topics that are frequently asked in CBSE Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Permutations and Combinations — CBSE Class 11 Applied Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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