Analyzing Professor Subject Assignments

We need to determine the minor subject taught by professor P based on the given information about six management professors (O, P, Q, R, S, T) and their major/minor subjects.

Known Facts Summary

• Professors: O, P, Q, R, S, T (each teaches 2 subjects: Major & Minor)
• Subjects involved: Finance, Operations, IT, Marketing, Strategy
• Fact 1: R teaches Finance as a minor subject.
• Fact 2: Three professors teach Finance as a major subject.
• Fact 3: Operations is a major subject for T.
• Fact 4: Operations is a minor subject for both Q and S.
• Fact 5: O and R teach the same two subjects: Finance and IT.
• Fact 6: S and T teach Marketing.
• Fact 7: Only one professor teaches Strategy as a minor subject.

Deducing Subject Assignments

Step 1: Determine O and R's specific roles.

• From Fact 5, O and R teach Finance and IT.
• From Fact 1, R's minor is Finance. This implies R's major must be IT.
• Since R teaches Finance as minor, O cannot teach Finance as minor. Therefore, O must teach Finance as Major and IT as Minor.
• Assignments so far:
  • R: Major IT, Minor Finance
  • O: Major Finance, Minor IT

Step 2: Determine T's specific roles.

• From Fact 3, T's major is Operations.
• From Fact 6, T teaches Marketing. Since O has IT minor and R has Finance minor, and only one professor teaches Strategy minor (Fact 7), T must teach Marketing as Minor.
• Assignments so far:
  • T: Major Operations, Minor Marketing

Step 3: Determine S's specific roles.

• From Fact 4, S's minor is Operations.
• From Fact 6, S teaches Marketing. Since T teaches Marketing as Minor, S must teach Marketing as Major.
• Assignments so far:
  • S: Major Marketing, Minor Operations

Step 4: Identify remaining minors and professors.

• Professors with assigned minors:
  • O: IT
  • R: Finance
  • T: Marketing
  • Q: Operations (Fact 4)
  • S: Operations (Fact 4)
• The minors assigned are IT, Finance, Marketing, and Operations (twice).
• From Fact 7, only one professor teaches Strategy as a minor.
• The only professor remaining without an assigned minor is P.
• The only subject remaining that can be a minor is Strategy.

Identifying P's Minor Subject

Based on the deductions, professors O, R, T, Q, and S have their minor subjects assigned as IT, Finance, Marketing, and Operations. Since only one professor can teach Strategy as a minor, and P is the only professor left without a minor subject assigned, P must teach Strategy as their minor subject.