Answer :
To create a tree diagram for the possible combinations of costumes from the items found in the attic, we can follow these steps:
1. Start by listing all the options for each category:
- Shirt options: Plaid Flannel, Striped Long Sleeve, Solid Red T-shirt, Polka Dot Hoodie
- Pants options: Tan Corduroys, Flare Jeans
- Hat options: Cowboy Hat, Top Hat, Baseball Cap
2. Create branches for each category:
- First branch for shirts with four sub-branches for each shirt option.
- Second branch for pants with two sub-branches for each pants option.
- Third branch for hats with three sub-branches for each hat option.
3. Combine the options from each category:
- Multiply the number of options in each category to find the total number of possible combinations.
4. Calculate the total number of costume combinations:
- Since there are 4 shirt options, 2 pants options, and 3 hat options, the total number of costume combinations would be 4 (shirts) x 2 (pants) x 3 (hats) = 24 different costume combinations.
By following these steps and creating a tree diagram with branches for each category, you can visually represent and calculate the total number of costume combinations that can be made from the items found in the attic.