June 2007 - Sec 1 - Game 2 - Q8

Video Transcript:

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Question 8, If Limelight is never shown again during the festival once Greed is shown,

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then which one of the following is the maximum number of film showings that could occur during

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the festival?

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So we're saying that if we show Greed, we can't show Limelight after that, and then

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asking what is the maximum number of films that can be shown. Well you'll notice, looking

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at Saturday first, if I was going to maximize Saturday I would have two films, one of which

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is definitely going to be L, because only one of G or H can be in.

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Now, I'm going to have G show up last on Saturday because, again, that's where I'm going to

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have G show up. If I place G anywhere else on Thursday or Friday I couldn't have L show

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up on Saturday.

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Because I'm maximizing, I'm going to keep G last on Saturday. Now, instead of having

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G last on Friday I'm going to use L. Then, since I'm maximizing, I know H is my only

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other possibility. Then on Thursday, while I could have technically all three films,

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H, L, and G, I can't place G because then I wouldn't be able to place L again so I'm

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going to go with L and H.

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What will the maximum number of films that could be shown during the festival? Well,

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the correct answer would be (D) . . . six.