 In this video, we provide the solution to question number two for practice exam number four for math 1030 In which case we have the following situation Your dorm building consists of four floors and you've been tasked with creating a committee Which consists of exactly one person represented each floor, okay four floors one person each We got to find a committee with four people on it The first floor has 25 students on it the second floor has 28 the third floor has 18 and the fourth floor has 21 How many different committees can we choose? Well? We have to choose one person from the first floor one from the second one from the third one from the fourth and as no Person lives on multiple floors. These decisions are going to be independent of each other So applying the fundamental counting principle the number of choices we have from the first floor is 25 The number of choices from the second is 28 from the third floor is 18 and from the fourth floor will be 21 so the number of committees we can make is going to be 25 times 28 times 18 times 21 And feel free to use a calculator to assist you on this one But if you take 25 times 28 times 18 times 21 you end up with 264,600 so the correct answer would then be D