# A Foundation In Pure Mathematics

## Dublin Core

### Subject

### Description

Everyone in Hong Kong has heard of the Mark Six! Players select six different numbers from 49 possibilities in the hope of winning a small fortune - or possibly even a large one.

So how many different choices of six numbers out of 49 are there? If you just sat down to count out all the possible combination, it would take you a very long time indeed. But in mathematics we have other counting tools that can assist us in this counting task.

Learning to use these tools is the basis for learning about counting and probability.

The first section in this module introduces basic counting principles, and helps you

work through some simple counting problems. You will learn how the Addition and Multiplication Principles can be applied to determine the number of possible

combinations. You will then look at two important counting tools, namely

permutations and combinations, and compare the different counting principle

between them.

The second section in this module introduces you to probability as a measure of

chance. It gives you a numerical means of comparing different degrees of chance. You

learn by looking at common games of chance: tossing a coin, selecting a playing card, or throwing dice.

So how many different choices of six numbers out of 49 are there? If you just sat down to count out all the possible combination, it would take you a very long time indeed. But in mathematics we have other counting tools that can assist us in this counting task.

Learning to use these tools is the basis for learning about counting and probability.

The first section in this module introduces basic counting principles, and helps you

work through some simple counting problems. You will learn how the Addition and Multiplication Principles can be applied to determine the number of possible

combinations. You will then look at two important counting tools, namely

permutations and combinations, and compare the different counting principle

between them.

The second section in this module introduces you to probability as a measure of

chance. It gives you a numerical means of comparing different degrees of chance. You

learn by looking at common games of chance: tossing a coin, selecting a playing card, or throwing dice.

### Creator

The Open University of Hong Kong

### Publisher

The Open University of Hong Kong

### Contributor

Cut Rita Zahara

### Rights

Creative Commons

### Type

### Files

### Collection

### Citation

The Open University of Hong Kong, “A Foundation In Pure Mathematics
,”

*Open Educational Resource (OER)*, accessed October 4, 2023, http://oer.uinsyahada.ac.id/items/show/704.