Probability, Fundamental Counting Principle, and Permutations

A shoe manufacturer makes brown and black shoes in nine different sizes. How many different shoes does the manufacturer make?

A bicycle manufacturer makes five- and ten- speed bikes in seven different colors and four different frame sizes. How may different bicycles does the manufacturer make?

How many different combinations of sandwich, side, and beverage are possible: Sandwiches: Hot Dog, Hamburger, Veggie burger, Bratwurst, Grilled Chicken Sides: Chips, Apple, Pasta Salad Beverages: Bottled Water, Soda, Juice, Milk

Dane is renting a tuxedo for prom. Once he has chosen his jacket, he must choose from three types of pants and seven colors of vests. How many different ways can he select his attire for prom?

You go to Best Buy to purchase a new television. You have the following choices: LCD or plasma; screen size 27", 32", 36", 41", 51", or 63" and manufacturer Sony, Vizio or Phillips. How many different televisions does the store have to offer?

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?

Guests at a wedding reception must choose 1 food item from each of these 3 categories: Main Dish: steak, fish, chicken Vegetable: carrots, green beans, potatoes Salad: garden, Caesar How many different dinner combinations are possible?

For $10.99 you can get the lunch special at a local restaurant. There are 4 appetizers, 5 main course meals, 3 desserts, and 6 drink choices. If you get one of each, how many different lunch special possibilities are there?

The LCHS Softball Team has 4 jerseys, 3 pairs of pants, 2 belts, and 2 pairs of socks. How many different uniform combinations can be made?

Richard has 5 shirts, 6 pairs of jeans, and 3 vests. How many different outfits, each composed of a shirt, a pair of jeans, and a vest, can he make?

How many different 2-digit numbers can be formed from the digits 4, 6, and 8? Assume no number can be used more than once.

How many permutations are possible of the letters in the word "numbers"?

There are 5 passengers in a car. In how many ways can the passengers sit in the 5 passenger seats of the car?

Mateo is one of the six dog owners in the terrier category. If the owners are selected in a random order to show their dogs, how many ways can the owners show their dogs?

P(7,4)