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Concept Maps

Permutations and Combinations — Concept Maps

ICSE · Class 11 · Mathematics

4 concept maps of Permutations and Combinations for ICSE Class 11 Mathematics, each also written out as a text outline.

58 questions28 flashcards17 formulas & key relations5 concepts

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An infographic illustrating the multiplication principle of counting with a clear example, showing how to calculate total ways when operations are sequential.
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4 Concept Maps

Permutations and Combinations Concept Map

Permutations and Combinations Concept Map

The map in words

  • Permutations and Combinations
    • Counting Principles
      • Fundamental Principle
      • Addition Principle
      • Multiplication Principle
    • Factorial
      • Definition
      • Properties
      • Applications
    • Permutations
      • Linear Permutations
        • Distinct Objects
        • Non-distinct Objects
      • Circular Permutations
        • Stationary
        • Free
      • Restricted Permutations
    • Combinations
      • Basic Formula
      • Properties
      • Selection Problems
    • Applications
      • Real World Problems
      • Mixed Problems
      • Probability Foundation

Permutations and Combinations Overview

Permutations and Combinations Overview

The map in words

  • Permutations & Combinations
    • Factorial
      • Definition n!
      • Properties 0! = 1
      • Calculations
    • Counting Principles
      • Multiplication
      • Addition
      • Tree Diagrams
    • Permutations
      • Linear nPr
      • Circular n-1!
      • With Repetition
      • Restrictions
    • Combinations
      • Formula nCr
      • Properties
      • Pascal Identity
      • Subsets 2^n
    • Problem Types
      • Arrangements
      • Selections
      • Mixed Problems
      • At Least At Most

Complete Overview of Permutations and Combinations

Complete Overview of Permutations and Combinations

The map in words

  • Permutations and Combinations
    • Fundamentals
      • Factorial Notation
        • n factorial
        • Properties
        • Applications
      • Counting Principles
        • Addition Principle
        • Multiplication Principle
        • When to Use
    • Permutations
      • Basic Formula
        • nPr formula
        • All objects nPn
      • With Repetition
        • Identical objects
        • Formula derivation
      • Circular Arrangements
        • Fixed arrangements
        • Necklace problems
      • Constraints
        • Objects together
        • Objects apart
        • Specific positions
    • Combinations
      • Basic Formula
        • nCr formula
        • Selection vs arrangement
      • Properties
        • Symmetry property
        • Pascal identity
        • Sum properties
      • Applications
        • Committee formation
        • Team selection
        • Card problems
    • Mixed Problems
      • Selection then Arrangement
      • Multiple Constraints
      • Case Analysis
      • Complementary Counting

Counting arrangements and selections of objects using factorial, permutations, combinations, and circular permutations

Counting arrangements and selections of objects using factorial, permutations, combinations, and circular permutations

The map in words

  • Counting arrangements and selections of objects using factorial, permutations, combinations, and circular permutations
    • Factorial
    • Fundamental Principles of Counting
    • Permutations
    • Combinations
    • Circular Permutations
    • Permutation and Combination Relation
    • Worked Problem Types

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Frequently Asked Questions

What are the important topics in Permutations and Combinations for ICSE Class 11 Mathematics?
Key topics in Permutations and Combinations include Factorial and Basic Counting Rules, Permutations, Circular Permutations, Combinations. Study these first, then practise questions on each for Class 11 exams.
What do the concept maps for Permutations and Combinations show?
The 4 maps show how the ideas in Permutations and Combinations connect: Permutations and Combinations Concept Map; Permutations and Combinations Overview. Each map is also written out as an outline on this page.
How should I revise Permutations and Combinations for Class 11 exams?
Learn the core ideas first, then work through the 58 practice questions on Permutations and Combinations. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Permutations and Combinations

All ICSE Class 11 Mathematics Concept Maps

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