You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 17 children present in your van. can you drive? How many different groups of 7 children can you drive?

The Student Store holds a contest to hand out souvenir shirts featuring four designs from the Mathematics Hall of Fame. Each shirt is size XL. 700 different people enter the contest. 6 different people win a shirt. Shirts with the same design are indistinguishable from one another. The order in which the shirts are handed out does not matter. How many different ways can the shirts be handed out? No need to simplify your answer. You must explain your answer.

Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them somewhere and do not care which seat they sit in. How many different combinations of friends could you bring in your car?

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?

In your closet, you have 15 tops, 10 bottoms, and 8 pairs of shoes. How many ways can you dress yourself in the morning?

You are getting dressed for the day. You have 7 shirts, 4 pairs of pants and 3 shoes. How many different outfits do you have?

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 8 boys and 7 girls are competing, how many different ways could the six medals possibly be given out?

You visit a store. You have your choice of 3 shirts, 4 pants, and 3 pairs of shoes. How many different outfits of shirts, pants, and shoes can you make?

We are having a party and are putting square tables together in a long row for the party. We can put two chairs on each side of a table. The tables are all the same size. If we put together ten tables in a row, how many people can sit down?

Twenty children are to be divided into an X team and a Y team of 10 each. The X team will play in one league and the Y team in another. How many different divisions are possible?