4. The manager of a large store that sells TV sets wants to set up a display of all the different TV sets that they sell. The manager has seven different TVs that have screen sizes between 37 and 43 inches, nine that have screen sizes between 46 and 52 inches, and twelve that have screen sizes of 55 inches or greater. a. In how many ways can the manager arrange the 37- to 43-inch TV sets? b. In how many ways can the manager arrange the 55-inch or greater TV sets? C. In how many ways can the manager arrange all the TV sets if he is concerned about the order they were placed in? 5. Seven slips of paper with the digits 1 to 7 are placed in a large jar. After thoroughly mixing the slips of paper, two slips are picked without replacement. a. Explain the difference between 7P2 and 72 in terms of the digits selected. b. Describe a situation in which 7P2 is the total number of outcomes. C. Describe a situation in which 72 is the total number of outcomes. d. What is the relationship between 7P2 and 702? 6. If you know ,Ck , and you also know the value of n and k, how could you find the value of , PA? Explain your