Linear Games Questions - - Question 6

Which one of the following is an acceptable schedule for the evening's performers, from first through seventh?

ZachB July 6, 2019

December 1997 Linear Games Homework

For Question #8: How can you choose "C" when Looking at the contrapositive of rule 3? If L does L does not play third, then N does not play fifth. Doesn't that violate that rule?

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shunhe January 7, 2020

Hi @ZachB,

Thanks for the question! Let's take a look at rule 3. Rule 3 reads, "Lalitha performs third only if Norton performs fifth." We diagram "X only if Y" as X - >Y; in other words, only if introduces a necessary condition. So we diagram rule 3 as

Lalitha performs third - > Norton performs fifth

And so the contrapositive of rule 3 is

~Norton performs 5th - > ~Lalitha performs 3rd

And now we can see that there's no violation of the rule. Hope this helps!