Chapter 17 of 19
Important Topics
Permutation and Combination — Important Topics
XAT · Quantitative Ability & Data Interpretation
Most important topics from Permutation and Combination for XAT Quantitative Ability & Data Interpretation 2026 — high-weightage areas based on previous year analysis.
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Topics covered in Permutation and Combination for XAT Quantitative Ability & Data Interpretation.
Topics in Permutation and Combination
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
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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