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Permutation and Combination — Revision Notes

XAT · Quantitative Ability & Data Interpretation

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

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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).
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Revision Notes — Permutation and Combination

Key concepts, formulas, and definitions from Permutation and Combination for XAT Quantitative Ability & 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

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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 XAT?
Permutation and Combination is an important chapter in XAT Quantitative Ability & 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 XAT?
Permutation and Combination is a frequently tested chapter in XAT Quantitative Ability & 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 XAT?
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.

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