A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?

A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the drawer in the dark (so you cannot see the color), how many must you pick to ensure that you end up with at least two blue socks?

At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 12 horses and the second runs 9, how many different tickets are possible?

The Schmidts are considering the purchase of 3 paintings for their home. Their decorator advises that the selection be made from a collection of 10 landscapes or from a collection of 8 historical paintings. In how many different ways can they select 3 paintings from one collection or the other?

Mrs. Wilson has decided to buy a Chevrolet Caprice or a Buick Roadmaster. She has narrowed down the choices to silver metallic, white, or dark cherry metallic, and to interior colors to grey or red. How many different selections of these models and colors are possible?

Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight DVD players. How many different TV/DVR/DVD systems can you assemble?

The security department at six employees. Four of them won’t have to work on Thanksgiving day. How many different ways can the supervisors elect for employees who won’t have to work on Thanksgiving day?

A cell phone company offers 19 different voice packages and 19 different data packages. Of those, 6 packages include both voice and data. How many ways are there to choose either voice or data, but not both?

How many different baseball bating line ups are possible if the coach wants to put one of the three best batters in the third position and the pitcher in the fifth position?

Jack, Anny and Bella were elected as Executive Officers in their organization. They will be appointed to the posts of Chairman, Treasurer, and Secretary. Since Anis has already been the Secretary for four terms, he is ineligible for the Secretary post. How many possible formations of the posts are there?