As a science major, you are assigned to the Atomic Dorm at college. The first floor has

Chapter 8, Problem 8.104

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As a science major, you are assigned to the Atomic Dorm at college. The first floor has one suite with one bedroom that has a bunk bed for two students. The second floor has two suites, one like the one on the first floor, and the other with three bedrooms, each with a bunk bed for two students. The third floor has three suites, two like the ones on the second floor, and a third suite that has five bedrooms, each with a bunk bed for two students. Entering students choose room and bunk on a first-come, first-serve basis by criteria in the following order of importance: (1) They want to be on the lowest available floor. (2) They want to be in the smallest available dorm room. (3) They want to be in a lower bunk if available. (a) Which bunk does the 1st student choose? (b) How many students are in top bunks when the 17th student chooses? (c) Which bunk does the 21st student choose? (d) How many students are in bottom bunks when the 25th student chooses?

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