Answer the following questions?
33. How many four-letter passwords can be formed from the letters in the word panicky if each letter has to be distinct? What if letters are allowed to be repeated? 34. Out of a group of eight students serving on the Student |Government Association, how many different ways can a president, a vice president, and a treasurer be selected? 35. How many different ID cards can be made if there are six digits on a card and no digit can be used more than once? What if digits can be repeated? 36. How many different ways can seven types of laser printer be displayed on a shelf in a computer store? 37. How many different ways can four Super Bowl rafe tickets be selected from 50 tickets if each ticket wins a different prize? 33. How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment? 39. How many website graphics can be created by using at least three of ve different bitmap images? 40.1%. chemistry lab group has seven experiments to choose from and ve members in the group. How many different ways can the experiments be assigned if only one experiment is assigned to each group member? 41.A radio D] has a choice ofseven songs in the queue. He has to pick three different songs to play in a certain order after the commercial break. How many ways can he select the three different songs? 43. A nursing student can be assigned to one of six different floors each day depending on staffing needs. How many different ways can she be assigned during a 5-day work week? 44. A hotel manager has 12 different promotional events she can choose from, and plans to run a promotion during each of the 4 weeks in February. She doesn't have a problem with repeating a promotion if it's successful. How many different ways can she choose the promotions? 45. Out of 17 contacts in her cell phone, how many different ways can Shana set the first four speed-dial contacts? 46. In how many different ways can you visit the seven stores you like at an outlet mall? 47. How many different code words can be made from the symbols * *, *, @, @, S, #, #, #, # if each word has 10 symbols? 48. How many different passwords can be made from the letters in the word Alabama? 49. A radio DJ is contractually obligated to run a commercial for Pepsi three times, a commercial for a local law firm once, and a new promo for the station twice per hour. In how many different ways can he do this? 50. A graphic designer is choosing from three red squares, two blue squares, and four white squares to design a backdrop pattern for a tech expo. How many different orders can she choose? 51. The panel for a political forum consists of four Democrats, five Republicans, and three Independents. In how many orders can they be seated if all that matters is party, not individuals?53. In how many ways can the panelists in Problem 51 be chosen to answer five questions posed by the moderator with no regard for party? Panelists can answer more than one question. 54. In how many ways can a team from one of the conferences be chosen (see Problem 52) to be featured on the NFL pregame show for the first 6 weeks of the season? Teams can be featured more than once. 55. A Major League Baseball team has 25 players on the active roster. How many choices does a manager have for batting order, listing the nine starters from 1 through 9? 56. A college basketball team has 14 women on the roster. In how many ways can the coach choose a lineup featuring five different positions? 57. For the new fall season, a network president has 11 shows in development, and six openings in the prime time schedule. In how many ways can she arrange new shows to fit into the schedule
