Civil Service Exam (Subprofessional) Numerical Ability — Permutation & CombinationConcept Map
Civil Service Exam (Subprofessional) candidates who build concept maps early in review tend to retain Permutation & Combination better through the long stretch to exam day. The Permutation & Combination concept map on this page shows the sub-topics Civil Service Commission (CSC) includes most often in Civil Service Exam (Subprofessional) Numerical Ability, and how they branch off the central idea.
Exam context
On the Civil Service Exam (Subprofessional) 2026, the Numerical Ability subtest carries a "~25% weightage" weight in Civil Service Commission (CSC)'s pattern. Permutation & Combination lands at position 7th out of 9 in the standard review order. Target score is 80%, and roughly 17 items come from Numerical Ability on a typical Civil Service Exam (Subprofessional) paper.
Permutation & Combination - Concept map
Central Concept
Permutation and Combination are fundamental counting principles used to determine the number of ways to arrange or select objects from a set, with the key difference being whether order matters in the arrangement
Related Concepts
Concept
Permutation
Sub Concepts
- Formula: nPr = n!/(n-r)!
- Order is important
- Arrangements matter
- Keywords: arrange, order, sequence
- Examples: seating arrangements, passwords
Relationship To Central
One of two main counting methods where order of selection matters
Concept
Combination
Sub Concepts
- Formula: nCr = n!/[r!(n-r)!]
- Order is not important
- Selection only
- Keywords: select, choose, pick
- Examples: committee selection, lottery numbers
Relationship To Central
One of two main counting methods where order of selection does not matter
Concept
Factorial
Sub Concepts
- Definition: n! = n × (n-1) × (n-2) × ... × 1
- Examples: 5! = 120, 0! = 1
- Used in all counting formulas
- Represents total arrangements
Relationship To Central
Mathematical foundation used in both permutation and combination formulas
Concept
Problem Identification
Sub Concepts
- Order matters → Permutation
- Order doesn't matter → Combination
- Keywords recognition
- Context analysis
Relationship To Central
Critical skill to determine which counting method to use
Concept
Real-world Applications
Sub Concepts
- Probability calculations
- Committee formations
- Password security
- Tournament brackets
- Menu selections
Relationship To Central
Practical uses of counting principles in various scenarios
Concept Connections
To
Permutation
From
Factorial
Strength
strong
Relationship
Factorial is used in the numerator and denominator of permutation formula
To
Combination
From
Factorial
Strength
strong
Relationship
Factorial is used in numerator and both terms of denominator in combination formula
To
Combination
From
Permutation
Strength
strong
Relationship
Both are counting principles but differ in whether order matters
To
Permutation
From
Problem Identification
Strength
strong
Relationship
Correct identification of order importance leads to permutation use
To
Combination
From
Problem Identification
Strength
strong
Relationship
Recognizing that order doesn't matter leads to combination use
To
Permutation
From
Real-world Applications
Strength
moderate
Relationship
Many practical scenarios require permutation calculations
To
Combination
From
Real-world Applications
Strength
moderate
Relationship
Committee selection and group formation use combination principles
To
Problem Identification
From
Keywords
Strength
strong
Relationship
Specific keywords help identify which counting method to use
Previous chapter
Word Problems — Speed/Distance/Age, Discount & Interest
Next chapter
Geometry — Perimeter, Area, Circumference & Volume
Ready to practise for the Civil Service Exam (Subprofessional) 2026?
Super Tutor's AI review plan adapts to your weak areas and builds a weekly practice schedule around your target Civil Service Exam (Subprofessional) exam date.