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Permutations and Combinations — Revision Notes

ICSE · Class 11 · Mathematics

Permutations and Combinations revision notes for ICSE Class 11 Mathematics: 4 topics in quick points. Part of the ICSE Class 11 Mathematics syllabus.

58 questions28 flashcards17 formulas & key relations5 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 Factorial and Basic Counting Rules, Permutations, Circular Permutations, Combinations. Study these first, then practise questions on each for Class 11 exams.
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.

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