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Definition
A permutation is an arrangement of objects in a specific order. It refers to the number of ways to order or sequence a set of items, where order matters.
The number of permutations of n distinct objects taken r at a time is given by:

Summary
1. Key Characteristics
- Order matters: Changing the order creates a different permutation.
- Used when arranging people, letters, numbers, etc.
2. Types of Permutations

3. Applications
- Arranging books, people, or digits
- Creating passwords or codes
- Scheduling or ranking items
- Solving probability problems where order is important
4. Comparison with Combinations
- Permutations: order matters
- Combinations: order does not matter
5. Common Mistakes
- Using permutation formulas when order does not matter
- Forgetting to adjust for repeated items
Permutation Math Activities
This is a fantastic bundle which includes 10 activities with answer guides about Permutation. All our worksheets are completely editable so can be tailored for your curriculum and target audience.
Resource Examples
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Worksheets Activities Included
- Basic Permutations
- Using the P(n,r) formula
- Repeated Letters
- Circular & Necklace permutations
- With restrictions
- PINs & Passwords
- Word Arrangements
- Rankings & Officers
- Mixed Practical Problems
- Challenge Problems