1. Zip Codes How many 5-digit zip codes are possible if digits can be repeated? If there cannot be repetitions? 2. Batting Order How many ways can a baseball manager arrange a batting order of 9 players? 3. Video Games How many different ways can 7 different video game cartridges be arranged on a shelf? 4. Seating Arrangements In how many ways can 5 speakers be seated in a row on a stage? 5. Shampoo Display A store manager wishes to display 8 different brands of shampoo in a row. How many ways can this be done? 6. Show Programs Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged? How many if the comics must perform between bands? 7. Evaluate each of the following: a. 8! b. 10! C. O! d. 1! e. 4