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Permutations and Combination

Maharashtra Board · Class 11 · Mathematics & Statistics

Quick revision notes for Permutations and Combination — Maharashtra Board Class 11 Mathematics & Statistics. Key concepts, formulas, and definitions for last-minute revision.

43 questions20 flashcards5 concepts

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Key Topics to Revise

1

Fundamental Principles of Counting

  • Addition Principle: Used when choosing ONE option from multiple categories
  • Multiplication Principle: Used when making multiple independent choices
  • Tree diagrams help visualize counting problems systematically
2

Factorial Notation

  • n! = n × (n-1) × (n-2) × ... × 3 × 2 × 1
  • 0! = 1 by definition (very important for formulas)
  • n! = n × (n-1)! - recursive relationship
3

Permutations - All Objects Distinct

  • Permutation = arrangement where ORDER MATTERS
  • ⁿPᵣ = number of ways to arrange r objects from n distinct objects
  • When r = n, we get n! (all objects arranged)
4

Permutations - Some Objects Identical

  • When some objects are identical, total arrangements reduce
  • Divide by factorial of number of identical objects
  • Can have multiple groups of identical objects

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Full Notes

Key Concepts

Three basic principles form the foundationFor any natural number nArrangements of objects where order mattersSelections of objects where order doesn'tStep 1

Frequently Asked Questions

What are the important topics in Permutations and Combination for Maharashtra Board Class 11 Mathematics & Statistics?
Permutations and Combination covers several key topics that are frequently asked in Maharashtra 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 and Combination — Maharashtra Board Class 11 Mathematics & 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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