Skip to main content
Super TutorResources
Chapter 17 of 19
SyllabusNotesTopicsQuestionsPlanFormulas
Revision Notes

Permutation and Combination — Revision Notes

CMAT · Quantitative Techniques & Data Interpretation

Free Permutation and Combination revision notes for CMAT Quantitative Techniques & Data Interpretation 2026 — key concepts, formulas, and definitions for quick revision.

Interactive on Super Tutor

Studying Permutation and Combination? Get the full chapter — free.

Practice questions, revision notes, formula sheet and AI doubt-solver — built for CMAT Quantitative Techniques & Data Interpretation.

Try Super Tutor — Free
An infographic explaining factorial notation (n!), its definition as a product of consecutive integers, and key properties like 0! = 1 and its domain (natural numbers and zero).
Super Tutor

This is just one of 18+ visuals inside Super Tutor's Permutation and Combination chapter

Explore the full set

Revision Notes — Permutation and Combination

Key concepts, formulas, and definitions from Permutation and Combination for CMAT Quantitative Techniques & Data Interpretation preparation.

Key Topics to Revise

1

Factorial Notation and Basic Concepts

  • Factorial notation n! = n × (n-1) × (n-2) × ... × 3 × 2 × 1
  • 0! = 1 by convention
  • Factorials are defined only for non-negative integers
2

Permutations - When Order Matters

  • Permutation involves arrangement where order is important
  • Symbol: nPr or P(n,r) represents permutations of n things taken r at a time
  • Formula: nPr = n!/(n-r)! where n ≥ r
3

Combinations - When Order Doesn't Matter

  • Combination involves selection where order is not important
  • Symbol: nCr or C(n,r) represents combinations of n things taken r at a time
  • Formula: nCr = n!/[r!(n-r)!] where n ≥ r
4

Special Cases and Advanced Applications

  • Arrangements with identical objects: n!/(p₁!×p₂!×...×pₖ!)
  • Distribution problems using stars and bars method
  • Circular permutations: (n-1)! for distinct objects

Get complete revision notes with diagrams and examples — continue in Super Tutor

Key Concepts

Factorial of a natural number nPermutations count the number of waysCombinations count the number of waysIf there are M waysWhen objects are arranged in

Frequently Asked Questions

What topics are covered in Permutation and Combination for CMAT?
Permutation and Combination is an important chapter in CMAT Quantitative Techniques & Data Interpretation. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Factorial Notation and Basic Concepts, Permutations - When Order Matters, Combinations - When Order Doesn't Matter, Special Cases and Advanced Applications.
How important is Permutation and Combination for CMAT?
Permutation and Combination is a frequently tested chapter in CMAT Quantitative Techniques & Data Interpretation. Questions from this chapter appear regularly in previous year papers. There are 55 practice questions available for this chapter.
How to prepare Permutation and Combination for CMAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

More resources for Permutation and Combination

All 19 chapters — CMAT Quantitative Techniques & Data Interpretation Revision Notes

For CMAT aspirants

Get the full Permutation and Combination chapter — for free.

Practice questions, revision notes, formula sheet and AI doubt-solver for CMAT Quantitative Techniques & Data Interpretation.

Try Super Tutor Free
Try the full chapter — Free