Hi Kyunglt,
For discussion of the individual questions, check out the individual forum posts, which you can find
here
This is a balanced, partially defined two-group grouping game. The real difficulties in this game are figuring out which group has two members and which has three and keeping track of the facilitator.
Our variables are the students J, K, L, M, and P and we must place them in either the Red or the Green group.
One group will have two members and the other will have three, so I immediately wrote down two separate game boards, alternating which group had two members. You may also simply write down the minimum number of spaces in each group (two) and keep in mind that there will a a third member in one of the groups.
The scenario also tells us that one member of each group is a facilitator. I showed this to myself by drawing a star under one of the spaces in each group. You can also choose to label one of the spaces with an
f. Make sure though to clearly write this smaller as a subscript or in italics. People with less than neat writing may have trouble, confusing this facilitator symbol as a symbol for another student.
The first rule tells us that J and O are on different teams. You can show this with a not-block rule, or with a negative biconditional J
O. Both of these will tell oyu to always split up J and O.
L must be in the Green room, but we do not know whether she is a facilitator or not. I would place L in one of the spaces of the Green room in my diagram at this point.
K is not a facilitator, so I would make a simple not law like so:
Kf. In other words, show that K may not be placed in the facilitator roll by show you may never see K with a subscript F next to it (or whatever equivalent symbol you choose to use).
Olga must be a facilitator, so Draw a clear
Of below your other rules.
Now at this point a lot of people will be tempted to draw out every possible template, starting with splitting the board into two numeric distributions. I agree with what Adam wrote above, since I don't believe that forming templates for this game would be worth the time required for most students.
Even if you do them successfully, there is a lot of uncertainty in each template. If you know that you can do templates quickly, and doing so consistently helps you out, here is what I would come up with:
If Olga is on the Green team with one other person, then J or M must be the facilitator for the red group:
-
K
L
J/M
O
f J/M
f
G
R
If Olga is on the Green team with two other people then L and K or M must join her, but we don't have a lot of information about the Red group:
K/M
-
L
J/K/M
O
f J/K/M
G
R
If Olga is on the Red team with two other people, then we can place everyone into the two groups, but we do not know who is the facilitator for the Green group:
-
M
L
K
J
O
f
G
R
If Olga is on the Red team with one other people, then we don't know much besides J and L must be on the Green team.
Let me know if this helps, or if you have further questions!