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PT 37, S3, G1 - North/South Wing Dormitories

by zwatson1 Thu Aug 05, 2010 2:20 pm

Can someone please put up the diagram for this game?
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ManhattanPrepLSAT2
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Re: PT 37, S3, G1 "A school has exactly four dormitories"

by ManhattanPrepLSAT2 Sun Aug 08, 2010 7:22 pm

Here you go --

This game is certainly a bit unusual in terms of the scenario, but, once you get the elements notated, it's fairly straightforward.

Please feel free to follow up if you have any questions about the notations or the questions themselves.
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Re: PT 37, S3, G1 "A school has exactly four dormitories"

by nazu.s.shaikh Mon Aug 23, 2010 8:52 pm

Something I am overanalyzing here and it might be straightforward but I'm overlooking it.

What would be the contrapositive of the 4th constraint?

Is it: if the other wing is not assigned to females, then the dormitory does not have males..
 
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Re: PT 37, S3, G1 - North/South Wing Dormitories

by opulence2001 Mon Jan 10, 2011 8:14 pm

For this one I don't think you'll can use a contarpositive as in the last constraint, because is says if a dorm has males assign to one of it's wings, then the other wing is assigned to females.

W(male) --> opposite W (females)
eg. North Wing (male) --> South Wing ( females)

the contrapositive for the example would be
South wing (males) --> North Wing (female)

It's essentially just saying anytime you know a male is assign to a wing for sure the other wing houses females. It doesn't mean that if we know females are housed in a wing the other is male, so that's why if you know females are in a Wing we don't know if the other wing is male or female. You could have both the north and south side with females if you are told you have females in a wing first.

Hope that helps...
 
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Re: Diagram

by giladedelman Wed Jan 12, 2011 11:53 pm

Exactly! I endorse that explanation.
 
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Re: Diagram

by Nina Fri Jul 19, 2013 3:42 pm

i have a question regarding the last constraint: "if males are assigned to Veblen South, then Wisteria North is assigned males." as represented in the diagram: VSm --> WNm
is the contrapositive: WNf --> VSf?

if so, can we infer that VS and WN will have the same kind of students, either both male students or both female students?

Thanks a lot!
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Re: Diagram

by ohthatpatrick Thu Aug 01, 2013 2:01 pm

You are correct about the contrapositive:

VSm --> WNm
turns into
WNf --> VSf

It's always a good idea, when you're dealing with a binary concept like male/female to switch to the other side of the binary, rather than writing a negation.

In English,
WNf --> VSf
is a much better way to write that contrapositive than
~WNm --> ~VSm

BUT, it would be incorrect to think that VS and WN will always have a gender match. If we have VSf and WNm, neither rule is broken.

Hope this helps.