These diagrams show the rules governing the selection of photographs from three photographers (F, G, H) to fill the three sections of a newspaper (L, M, S).
Refer to these diagrams when solving this game. Copy them on your own page, and on each question make a new version of them in order to follow along with my explanations. You’ll learn much more if you draw along.
The setup section explains how to build this diagram.
Main Diagram
Rules
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Ren says
Quick question regarding Rule number 4: None of Gagnon’s Photographs can be in the sports section. This would mean that we can only have 3 possible scenarios in the Sports Section: HH, FF, and FH.
On my attempt, I drew the diagrams for these 3 scenarios as it does offer some additional deductions. I ended up with the following 3 diagrams for the scenarios:
1. 2 F’s in Sports – Having 2 F’s in sports really only gives us one possible grouping as we must have 2 H in Lifestyle. That means we need to have 1 H in Metro leaving the last spot in Metro occupied by G.
L: HH
M: GH
S: FF
2. 1 F and 1 H in Sports. This means we must have 1 H in Lifestyle. This deduction along with the rest of the rules makes the remaining 3 spots fairly restrictive.
L: H_
M:_ _
S: FH
3. 2 H in sports. This scenario probably leaves the most spots open but still gives us the deduction that we can have maximum 1 more H in the Lifestyle and Metro sections.
L: _ _
M:_ _
S: HH
My question is, would it not be beneficial to take the extra 30-60 seconds to draw out these 3 scenarios? By doing so, it means I can essentially forget about the last 2 rules and makes answering the questions a lot faster. Was there a reason why you chose not to do this? And I guess more importantly, what I’m trying to figure out is if there was a flaw in my reasoning to make the assumption and my 3 scenarios is actually wrong?
FounderGraeme Blake says
I think that’s an improvement actually. Nice work! You’ve found a very good split based on a constraint.
The answer for why I didn’t is I didn’t see it, and was speedily able to solve the game without the split. I generally do aim to split like you did, and it is beneficial. But, if you happen not to see one on a game it’s also fine: there’s generally multiple ways to do a game. And perfection also isn’t necessary for success.
Hope that helps! You did things exactly right and saw something I hadn’t noticed here
Hong says
Can there be zero F in the S section? Then there is also zero H in the L section, which means the number of H in L section and that of F in the S section are also equal(zero=zero). Thanks~
TutorLucas (LSAT Hacks) says
Yes, there can be zero F’s in the S group — we’re not told there must be a minimum of 1.