Skip to main content
Super TutorResources
Chapter 6 of 14
Chapter Summary

Permutations and Combinations — Chapter Summary

CBSE · Class 11 · Mathematics

Summary of Permutations and Combinations for CBSE Class 11 Mathematics. Part of the CBSE Class 11 Mathematics syllabus.

127 questions64 flashcards11 formulas & key relations5 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 chapter summary and more.

Try Super Tutor — Free

Free trial, no card needed.

Overview

Permutations and combinations are basic counting tools used to find how many arrangements or selections are possible without listing every case. The fundamental principle of counting states that if one event can happen in m ways and a following event can happen in n ways, then the total number of or

Key Concepts

If an event can occur

If an event can occur in m different ways and then another event can occur in n different ways, the total number of ordered outcomes is m × n. For thr

A permutation is an arrangement

A permutation is an arrangement in a definite order of a number of objects taken some or all at a time. Order matters in permutations.

The number of permutations of n

The number of permutations of n different objects taken r at a time is ^nP_r = n(n-1)(n-2)...(n-r+1) and also ^nP_r = n!/(n-r)!, valid for 0 ≤ r ≤ n.

n! is the product of

n! is the product of the first n natural numbers. Also, 0! = 1 by convention. The recursive form is n! = n(n-1)!

If repetition is allowed

If repetition is allowed, the number of permutations of n different objects taken r at a time is n^r.

Learning Objectives

  • Understand the fundamental principle of counting.
  • Distinguish between permutation and combination.
  • Use factorial notation and evaluate simple factorial expressions.
  • Apply formulas for permutations with and without repetition.
  • Apply formulas for permutations with repeated objects.

Frequently Asked Questions

What are the important topics in Permutations and Combinations for CBSE Class 11 Mathematics?
Key topics in Permutations and Combinations include Fundamental Principle of Counting, Factorial Notation, Permutations of Distinct Objects, Permutations with Repetition or Repeated Objects. 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 127 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.

More resources for Permutations and Combinations

All CBSE Class 11 Mathematics Chapter Summary

For serious students

Get the full Permutations and Combinations chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for CBSE Class 11 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free