AFPSAT Numerical Ability — Permutation & CombinationConcept Map
If you learn better by seeing ideas connected visually, this concept map of Permutation & Combination is built for you. Every AFPSAT Numerical Ability question draws on these relationships, so building this map mentally is half the battle when you sit for AFPSAT 2026.
Exam context
The Armed Forces of the Philippines Service Aptitude Test is conducted by Armed Forces of the Philippines and is scheduled for Multiple schedules yearly. The Numerical Ability subtest is marked as "Core" in the official pattern, and Permutation & Combination appears in position 7th of 9 in the AFPSAT Numerical Ability review rotation. Passing mark: AFP-set percentile. Recent AFPSAT 2026 papers have drawn roughly a meaningful share of questions from this subject.
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
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