# VCE Specialist Mathematics Units 1 and 2 – Arithmetic and Number

2.1 Set Theory
2.2 Venn Diagrams
2.3 Counting Techniques
2.4 Descriptive Statistics

## Principles of counting

This topic includes:

• one-to-one correspondence between sets, countable and uncountable subsets of R
• pigeon-hole principle: solve problems and prove results using this principle
• inclusion–exclusion principle for the union of two sets and three sets: determination and use of formulas for finding the number of elements in the union of two and the union of three sets
• permutations and solution of problems involving permutations and restrictions with or without repeated objects
• combinations and the relationship between permutations and combinations and problems involving restrictions
• derivation and use of simple identities associated with Pascal’s triangle.

source – VCE Mathematics Study Design

VCE Specialist Mathematics Units 1 and 2 Courses

VCE Specialist Mathematics Units 1 and 2 Syllabus

## Course Content

### Set Theory

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Counting Techniques
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Not Enrolled

• 32 Lessons
• 154 Topics
• 18 Quizzes