II. Simplify. Show the steps or the formula you used. 1. How many 3-digit area codes are possible if digits can be repeated? 2. How many 3-digit area codes are possible if digits can NOT be repeated? 3. How many different ways can 7 floral arrangements be displayed on a shelf? 4. There are 5 major roads from Augusta to Louisville and 3 major roads from Louisville to Sandersville. How many different trips can be made to Sandersville through Louisville? 5. An inspector must select 3 tests to perform in a certain order on a manufactured part. He has a choice of 8 tests. How many ways can he perform the 3 tests? 6. How many different tests can be made from a test bank of 20 questions if the test consists of 10 questions? 7. How many ways can a committee of 4 people be selected from a group of 10 people?8. How many ways can a president, vice-president, secretary, and treasurer be selected from a group of 10 people? 9. How many 3-letter permutations can be formed from the letters in the word "history"? 10. How many different ways can the letters in the word "CINDY" be arranged? 1 1. How many ways can 3 trucks be selected from 8 trucks to be tested for inspection? 12. Cindy has 5 skirts, 7 blouses, 3 scarves, and 3 pairs of sandals. How many different outfits can she make? 13. The call letters of a ratio station must have 4 letters. The first letter must be a K or a W. How many different call letters can be made if repetitions are NOT allowed? 14. How many different ways can 5 tickets be selected from 50 tickets if each ticket wins a different prize? 15. If a person can select 3 presents from 10 presents under a Christmas tree, how many different combinations are there? 16. How many different ways can an inspector select 2 textbooks from a possible 18? 17. In a train yard, there are 4 tank cars, 12 boxcars, and 7 flatcars. How many ways can a train be made up consisting of 2 tanks cars, 5 boxcars, and 3 flatcars? (In this case, order is not important.) 18. A store manager wishes to display 10 vases on a shelf. How many different ways can this be done? 19. If a football coach has 5 quarterbacks and 3 centers, how many different quarterback- center combinations can he field? 20. How many ways can a person select 8 CD's from 20? 2