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Revision Notes

Permutations and Combinations

ICSE · Class 11 · Mathematics

Quick revision notes for Permutations and Combinations — ICSE Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

58 questions28 flashcards5 concepts

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Key Topics to Revise

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.

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Full Notes

Key Concepts

The factorial of a positive integerIf one event can happenIf two disjoint events can happenA permutation is an arrangementA combination is an unordered selection

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.

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