Diagram

[chike_eze]

This game is about J,K,L teachers giving N,O,P,S,T,W presentations.

Rules:
--------
(1) Teachers give presentations as follows:
J: N,O
K: P,S,T
L: W

(2) K cannot give 2 presentations in a row. What does this mean? it means we cannot have P,S, and T consecutively next to each other in either direction

(3) S-O and T-W

The game is all about KKK (i.e., PST) distribution in combination with S-O, T-W constraints.

Q6: basic elimination using rules
Q7: T-W rule
Q8: KKK distribution + S/T cannot be last
Q9: KKK distribution
Q10: KKK distribution + S/T cannot be 5th (i.e., last)
Q11: KKK distribution + S/T cannot be last

[ohthatpatrick]

Nice analysis! I like the way you organized your thinking about the what the game is "all about".

We call that "The Big Pause" around these parts. Basically, once you've symbolized all the rules and gone through your setup, try to identify the most important rule or the crucial interaction between multiple rules. This way, you're priming your brain for the thought process you'll use to attack each specific scenario.

You then indicated, in your shorthand method of "explaining" each question, how that thought process got you to the answer. I'm sure some people will want more details for each of those questions, but we won't bother putting them here in the DIAGRAM thread.

We could potentially frame this game, using the limited possibilities for how to space out the 3 K's over 6 spots.

They could go
1-3-5
1-3-6
1-4-6
2-4-6

Normally, four frames is too much for most people's tastes, but if you're quick about setting them up, it's not a totally crazy idea.

K _ K _ K _
K _ K _ _ K
K _ _ K _ K
_ K _ K _ K

For the final 3 frames, in which K is last, we know that spot six is P (since neither S nor T can go last).

But that's really all we'd know for any of them. So these frames aren't very useful, but they might help us better visualize the options for the K's.

Keep up the good work.

[Gerald]

The diagram is attached. The solutions are posted individually in the thread. Hope it helps!

[VendelaG465]

"(2) K cannot give 2 presentations in a row. What does this mean? it means we cannot have P,S, and T consecutively next to each other in either direction."
I was confused about this rule. I had read/diagrammed it as anti-chunk PP,SS,TT?

[ohthatpatrick]

Your anti-chunks don't make sense because there would never be 2 P's, or two S's, or two of any letter.

They told us that there will be six consecutive presentations on six DIFFERENT subjects.

We know the subjects are
N, O, P, S, T, W

They will each go exactly one time.

Since we know that K is doing P, S, and T
and we know that K can never go in consecutive spots
then P, S, and T could never go in consecutive spots.

Hope this helps.