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Permutation and Combination — Formula Sheet

CMAT · Quantitative Techniques & Data Interpretation

Free Permutation and Combination formula sheet for CMAT Quantitative Techniques & Data Interpretation 2026 — all important formulas, equations, and constants for quick reference.

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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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Formula Sheet — Permutation and Combination

Important formulas and equations from Permutation and Combination for CMAT Quantitative Techniques & Data Interpretation.

Formulas — Permutation and Combination

Factorial Notation

n! = n(n-1)(n-2)...3.2.1

Permutations (Arrangements)

ⁿPᵣ = n!/(n-r)!
ⁿPₙ = n!
Circular arrangements = (n-1)!

Combinations (Selections)

ⁿCᵣ = n!/[r!(n-r)!]
ⁿCᵣ = ⁿCₙ₋ᵣ
ⁿC₀ + ⁿC₁ + ... + ⁿCₙ = 2ⁿ

Special Cases and Restrictions

Arrangements with repetition = n!/p₁!p₂!p₃!...
Distribution formula = (n+r-1)Cᵣ₋₁

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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.

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