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Permutations, Combination and Binomial Expansion — Revision Notes

Gujarat Board · Class 11 · Statistics

Permutations, Combination and Binomial Expansion revision notes for Gujarat Board Class 11 Statistics: 4 topics in quick points.

45 questions22 flashcards2 formulas & key relations5 concepts

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Key Topics to Revise

1

Fundamental Principles of Counting

  • Addition Principle: If there are m ways to do one task and n ways to do another task, then there are (m + n) ways to do either task
  • Multiplication Principle: If there are m ways to do one task and n ways to do another task, then there are (m × n) ways to do both tasks together
  • The word 'OR' indicates addition while 'AND' indicates multiplication
2

Factorial and Its Properties

  • Factorial n is denoted by n! and equals the product of all natural numbers from 1 to n
  • n! = n × (n-1) × (n-2) × ... × 3 × 2 × 1
  • By convention, 0! = 1 and 1! = 1
3

Permutations

  • Permutation is an arrangement of objects where order matters
  • ⁿPᵣ represents the number of ways to arrange r objects from n distinct objects
  • In permutations, AB and BA are considered different arrangements
4

Combinations

  • Combination is a selection of objects where order does not matter
  • ⁿCᵣ represents the number of ways to select r objects from n distinct objects
  • In combinations, AB and BA are considered the same selection

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Full Notes

Key Concepts

If there are m distinct thingsIf the first operation can beThe product of natural numbers fromThe number of ways to arrangeThe number of ways to select

Frequently Asked Questions

What are the important topics in Permutations, Combination and Binomial Expansion for Gujarat Board Class 11 Statistics?
Key topics in Permutations, Combination and Binomial Expansion include Fundamental Principles of Counting, Factorial and Its Properties, Permutations, Combinations. Study these first, then practise questions on each for Class 11 exams.
How should I revise Permutations, Combination and Binomial Expansion for Class 11 exams?
Learn the core ideas first, then work through the 45 practice questions on Permutations, Combination and Binomial Expansion. 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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All Gujarat Board Class 11 Statistics Revision Notes

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