Skip to main content
Super TutorResources
Chapter 6 of 14
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Revision Notes

Permutations and Combinations

Madhya Pradesh Board · Class 11 · Mathematics

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

127 questions64 flashcards5 concepts

Interactive on Super Tutor

Studying Permutations and Combinations? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

1,000+ Class 11 students started this chapter today

Key Topics to Revise

1

1. Fundamental Principle of Counting

  • If one event can happen in m ways and a second event can happen in n ways, then the two events together can happen in m × n ways.
  • The same idea extends to three events: if the first has m ways, the second has n ways, and the third has p ways, then the total is m × n × p.
  • This principle is also called the fundamental principle of counting.
2

2. Factorial Notation

  • n! is the product of the first n natural numbers.
  • 0! is defined to be 1 by convention.
  • Factorial notation makes permutation and combination formulas shorter and easier to use.
3

3. Permutations of Distinct Objects

  • A permutation is an arrangement in a definite order of objects taken some or all at a time.
  • Order matters in permutations.
  • The number of permutations of n different objects taken r at a time is nPr.
4

4. Permutations with Repetition or Repeated Objects

  • If repetition is allowed, the number of permutations is n^r.
  • If some objects are identical, divide by the factorials of repeated groups.
  • Words like ROOT, ALLAHABAD, and INSTITUTE illustrate repeated objects.

Get complete notes with diagrams and examples

Full Notes

Key Concepts

If an event can occurA permutation is an arrangementThe number of permutations of nn! is the product ofIf repetition is allowed

Frequently Asked Questions

What are the important topics in Permutations and Combinations for Madhya Pradesh Board Class 11 Mathematics?
Permutations and Combinations covers several key topics that are frequently asked in Madhya Pradesh 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 Combinations — Madhya Pradesh Board Class 11 Mathematics?
Understand the core concepts first, then work through the 127 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.

More resources for Permutations and Combinations

All 14 chapters — Madhya Pradesh Board Class 11 Mathematics Revision Notes

For serious students

Get the full Permutations and Combinations chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Madhya Pradesh Board Class 11 Mathematics.

Try Super Tutor Free
Try the full chapter — Free