Fundamental Counting Principle, Permutations & Combinations

In the cafeteria, a lunch combo consists of a sandwich, side and dessert. How many different ways do YOU THINK you can choose a lunch combo?

To create an entry code for a push-button door lock, you need to choose a letter and then, three single-digit numbers. How many different entry codes can you create?

Evaluate $4!$  

Evaluate $5!3!$  

Evaluate $\frac{12!}{6!}$  

Evaluate $\frac{10!}{7!3!}$  

Evaluate

Evaluate

Evaluate

Evaluate

Determine if the situation is a permutation or combination, and evaluate.

In the cafeteria, a lunch combo consists of a sandwich, side and dessert. How many different ways are there for you to choose a lunch combo?

In the cafeteria, a lunch combo consists of a sandwich, side and dessert. If the combos are pre-packaged, what is the probability of choosing a combo with Potatoes?

In the cafeteria, a lunch combo consists of a sandwich, side and dessert. If the combos are pre-packaged, what is the probability of choosing a combo that doesn't have PB&J or a Banana?