Question 1190877: MAT 145: Topics In Contemporary Math
Trees
2) A restaurant offers a special of an appetizer, main course, and desert for $12.99.
Create a tree diagram to find all the specials available if the diner must choose between
soup and salad for the appetizer, fried chicken, hot turkey sandwich, or meat loaf for the
main course, and chocolate cake or apple cobbler for the desert.
Answer by CPhill(1987)   (Show Source):
You can put this solution on YOUR website! Here's the tree diagram representing the possible meal combinations:
```
Appetizer
/ \
Soup Salad
/ \ / \
Main Course Main Course
/ | \ / | \
Fried Hot Meat Fried Hot Meat
Chicken Turkey Loaf Chicken Turkey Loaf
/ \ / \ / \ / \ / \ / \
Desert Desert Desert Desert Desert Desert Desert Desert
/ \ / \ / \ / \ / \ / \ / \
Cake Cobbler Cake Cobbler Cake Cobbler Cake Cobbler Cake Cobbler Cake Cobbler
```
**Listing the Combinations:**
Here are all the possible combinations, reading from left to right along the branches of the tree:
1. Soup, Fried Chicken, Chocolate Cake
2. Soup, Fried Chicken, Apple Cobbler
3. Soup, Hot Turkey Sandwich, Chocolate Cake
4. Soup, Hot Turkey Sandwich, Apple Cobbler
5. Soup, Meat Loaf, Chocolate Cake
6. Soup, Meat Loaf, Apple Cobbler
7. Salad, Fried Chicken, Chocolate Cake
8. Salad, Fried Chicken, Apple Cobbler
9. Salad, Hot Turkey Sandwich, Chocolate Cake
10. Salad, Hot Turkey Sandwich, Apple Cobbler
11. Salad, Meat Loaf, Chocolate Cake
12. Salad, Meat Loaf, Apple Cobbler
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