Final Answer:
a) According to the tree diagram, Jamie has three choices for size, two choices for crust, and two choices for topping.
Step-by-step explanation:
The tree diagram illustrates the different branches representing choices in ordering a pizza for lunch. Each level of the tree corresponds to a different decision point in the pizza customization process. In this case, there are three main decision points: size, crust, and topping. At the first level, Jamie has three choices for the size of the pizza.
At the second level, there are two choices for the crust, and at the third level, there are two choices for the topping. The total number of choices is determined by multiplying the number of choices at each level:
Therefore, Jamie has twelve different choices for customizing his pizza based on the given tree diagram.
Understanding tree diagrams is crucial for visualizing and calculating the total number of possible outcomes in a decision-making process. Each branch in the tree represents a distinct combination of choices, and multiplying the number of choices at each level provides the total number of unique options. In this case, the correct answer is option (a) as it accurately reflects the number of choices Jamie has for the size, crust, and topping of his pizza based on the tree diagram.