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Permutations and Combinations

ICSE · Class 11 · Mathematics

Complete topic list for Permutations and Combinations in ICSE Class 11 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

58 questions28 flashcards5 concepts

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4 Topics · ICSE Class 11 Mathematics

Topics in Permutations and Combinations

1

1. Factorial and Basic Counting Rules

  • n! is the product of all positive integers from n down to 1.
  • 1! = 1 and 0! = 1 by convention.
  • Factorial is not defined for proper fractions or negative integers.
2

2. Permutations

  • Permutation means an arrangement in a definite order.
  • Order is important in permutations.
  • AB and BA are different permutations.
3

3. Circular Permutations

  • Circular permutation is an arrangement in a circle.
  • For stationary circular permutations, clockwise and anticlockwise arrangements are different.
  • For free circular permutations, clockwise and anticlockwise arrangements are the same.
4

4. Combinations

  • Combination means an unordered selection.
  • Order is not important in combinations.
  • AB and BA are the same combination.

Key Concepts

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

FactorialFundamental Principles of CountingPermutationsCombinationsCircular PermutationsPermutation and Combination RelationWorked Problem Types

Frequently Asked Questions

What are the important topics in Permutations and Combinations for ICSE Class 11 Mathematics?
Key topics in Permutations and Combinations include Permutations and Combinations Concept Map, Permutations and Combinations Overview, Complete Overview of Permutations and Combinations. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Permutations and Combinations — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 58 practice questions available for this chapter. Revise formulas and 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 18 chapters — ICSE Class 11 Mathematics Syllabus

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