1. Some automobiles have six-button locks. To gain entry, push each of the six buttons, in a particular order, to unlock the door. How many different five-digit codes are possible? 2. the "Pick 3" at horse racetracks requires that a person select the winning horse for three consecutive races. If the first race has seven entries, the second race eleven entries, and the third race eight entries, how many different possible tickets might be purchased?

3. If a state issued license plates using the scheme of four letters followed by two digits, how many plates could it issue?

4. In how many ways could a club of 18 members choose a president, vice president, and treasurer?

5. In how many ways could a club of 28 appoint a committee of 4 people?