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Permutations, Combination and Binomial Expansion

Gujarat Board · Class 11 · Statistics

Quick revision notes for Permutations, Combination and Binomial Expansion — Gujarat Board Class 11 Statistics. Key concepts, formulas, and definitions for last-minute revision.

45 questions22 flashcards5 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?
Permutations, Combination and Binomial Expansion covers several key topics that are frequently asked in Gujarat Board Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Permutations, Combination and Binomial Expansion — Gujarat Board Class 11 Statistics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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