Problem 814 Mezzo Forte

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CiaranORaghallaigh
Posts: 2
Joined: Mon Nov 21, 2022 9:23 am

Problem 814 Mezzo Forte

Post by CiaranORaghallaigh »

Potential typo in question. I believe $S(2)=48$ and not $S(1)=48$ as currently written.
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DJohn
Posts: 90
Joined: Sat Oct 11, 2008 12:24 pm

Re: Problem 814 Mezzo Forte

Post by DJohn »

It's S(1) = 48. There are 4 people when N = 1, and if you write out all of the ways they look (according to the rules), you'll find 48 ways that exactly two people are looking at each other. S(2) means there are 8 people, and the numbers are much higher.
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CiaranORaghallaigh
Posts: 2
Joined: Mon Nov 21, 2022 9:23 am

Re: Problem 814 Mezzo Forte

Post by CiaranORaghallaigh »

Yes, you are right. I forgot I need to consider what the non screaming people are doing.
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