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Maths Methods
18. Permutations and Combinations
18.4 Permutation vs. Combination
Permutation vs. Combination
What You'll Learn
Distinguish between permutation and combination problems based on order importance
Apply permutation formulas when the order of selection matters
Apply combination formulas when the order of selection does not matter
Calculate permutations using nPr notation and factorial expressions
Calculate combinations using nCr notation and factorial expressions
Verify results using tree diagrams and fundamental counting principle
What You'll Practice
1
Determining whether order matters in prize distribution scenarios
2
Calculating permutations for arranging different prizes among students
3
Calculating combinations for distributing identical prizes
4
Using calculator functions to compute nPr and nCr values
5
Applying factorial notation to simplify counting expressions
Why This Matters
Understanding permutation vs. combination is essential for probability, statistics, and advanced counting problems. You'll use these concepts in fields like computer science, data analysis, and any career involving decision-making with multiple options.
Before You Start — Make Sure You Can:
This Unit Includes
1 Video lesson
Practice exercises
Learning resources
Skills
Permutation
Combination
Counting Principle
Factorial
Order Importance
Probability
nPr and nCr
