**TREE DIAGRAMS**

## A tree diagram can be used to represent the relationships between different factors in a problem. This strategy is most often used with problems where it is necessary to work out all possible combinations of the different factors in the problem.

**Outcomes - 2 Coin Toss**

**PROBLEM 1: **A class of students were asked to list their favourite fruits. In the list the students included apples, oranges and bananas.

## Once the initial list had been compiled students were asked to organise the three types of fruit in order, from their least favourite to their most favourite. Every possible combination was covered by the students in the class. How many combinations were there?

**Problem 2:**

There are eight netball teams representing schools in the local area.The teams are playing in a netball competition to decide on the district champion. It is a knock-out competition, which means that once a team is beaten they leave the competition. How many games will be played during the entire competition?