Question: A car dealer has a lottery. First, 22 names are selected at random from a data base of past customers. Six of these names will be winners. The first name chosen can go through the lot and pick any car. The second person can do the same, but perhaps the best car has already been chosen by the first person. The third person also goes through the lot, taking third pick, and so on. How many different possibilities are there for lists of people to go through the lot and make choices?