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Year 12 Maths
26. Permutations and Combinations
26.2 Factorial notation
Factorial notation
What You'll Learn
Understand factorial notation and how to evaluate expressions like n!
Simplify factorial expressions by identifying and canceling common terms
Solve equations involving factorials using algebraic techniques
Apply factorial notation to arrangement and permutation problems
Calculate arrangements with restrictions such as groups sitting together or alternating
What You'll Practice
1
Evaluating factorial expressions like 5! and simplifying ratios like 7!/5!
2
Solving factorial equations and verifying solutions are valid
3
Arranging letters in words with and without repetitions
4
Calculating seating arrangements with restrictions (together, apart, alternating)
5
Finding circular arrangement counts using (n-1)! formula
Why This Matters
Factorial notation is fundamental to counting and probability, helping you solve arrangement and permutation problems efficiently. You'll use these skills in statistics, computer science, and higher math courses whenever you need to count possible outcomes or orders.
This Unit Includes
19 Video lessons
Practice exercises
Learning resources
Skills
Factorial Notation
Permutations
Arrangements
Counting Principle
Restrictions
Circular Arrangements
Repetitions
