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Chapter 1: Problem 45

Jose, Bob, and Tony are college students living in adjacent dorm rooms. Bob lives in the middle dorm room. Their majors are business, psychology, and biology, although not necessarily in that order. The business major frequently uses the new computer in Bob's dorm room when Bob is in class. The psychology major and Jose both have 8 A.M. classes, and the psychology major knocks on Jose's wall to make sure he is awake. Determine Bob's major.

Short Answer

Expert verified
Bob's major is Biology.

Step by step solution

01

Identifying the Constraints

Take a note of the constraints given in the problem. The students are: Jose, Bob, and Tony. The majors are: Business, Psychology, and Biology. The constraints being: Bob can't be a Business major since the business major uses Bob's dorm room when he's out. The psychology major can't be Jose, since the psychology major knocks on Jose's wall to wake him up.
02

Using Process of Elimination

Now, using these constraints, let's eliminate impossible options. From constraint one, Bob can't be a Business major - so the options for him are either Psychology or Biology. Similarly, from constraint two, Jose can't be a Psychology major - so he either majors in Business or Biology.
03

Assigning the Majors

Since Jose can't be a Psychology major and Bob can't be a Business major, by the process of elimination, Jose must be the Business major and Bob must be the Biology major.
04

Confirming the Solution

With Bob being the Biology major and Jose as the Business major, it only leaves Tony to be the Psychology major. This aligns with all provided information and constraints.

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