Final answer=6.5.4=120 The board of a large corporation has six members willing to he nominated for office. How many different \"president/vice president/treasurer\" slates could be submitted to the stockholders? Solution Let anyone of the 6 be selected as president; the number of ways in which 6 can be selected = 6 Now we are left with 5 people number of ways in which vice president, among 5 can be choosen = 5 Similarly for treasure =4 Hence total ways = 6*5*4 =120.