PrepTest 34, Section 1, Question 9
A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures:
A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures:
A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures:
A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures:
Each speaker lectures on a philosopher in whom he or she specializes.
No two speakers lecture on the same philosopher.
The first week's speaker specializes in Kant, Locke, and Mill, and no other philosophers.
The second week's speaker specializes in Kant, Locke, Mill, and Nietzsche, and no other philosophers.
The third week's and fourth week's speakers each specialize in Mill and Nietzsche, and no other philosophers.
The fifth week's speaker specializes in Nietzsche, Ockham, and Plato, and no other philosophers.
What is the maximum possible number of different schedules for the five lectures in which those philosophers who are discussed are discussed in alphabetical order?
2
3
4
5
6
Explanations
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