Qi is having a Super Bowl party. He will offer the following refreshments: 4 different types of chips, 3 types of meat snacks (chicken wings, meatballs, mini hot-dogs), 2 types of pizzas (cheese and pepperoni), and 7 types of dips that can be used on any of these other items.
a) If a party guest is going to only choose one of each type of item (1 type of chip, 1 meat snack, 1 pizza, and 1 sauce), how many ways can he fill his plate?
b) If a party guest is going to only choose one of each type of item, what is the probability that his plate contains cheese pizza and chicken wings?
c) If a party guest is going to only choose one of each type of item, what is the probability that his plate has cheese pizza OR chicken wings for his plate?