Test over Permutations, Combinations, Probability

James purchased 3 shirts, 3 jackets and 2 pairs of pants.  How many different outfits using a shirt, a jacket, and pants are possible?

A particular model of a new car comes in: 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.  How many different 1-scoop ice cream cones can a customer order? 

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?

A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  

Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?

A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

How would you solve?
From the 20 DVD's you purchased this past year, you plan to take five with you on vacation.  How many different sets of five DVD's can you take?