by timmydoeslsat Thu May 17, 2012 12:32 am
Until Matt reposts #4, I will offer my perspective on it.
It is a local question asking how many different ways we can have the six cities be sequenced with G being selected.
We know that G is an Italian city and that it forces M out, which is a Spanish city.
G _ _ _ _ _ ....M _ _ _
We know that our S's must outnumber our I's. We know that we cannot have all 3 I's in this game because how could we ever have 3 S's outnumber that?
Since we already have G (an I) we will either have G be the only I represented or it will be accompanied with exactly 1 other I.
I would show those 2 frames.
Frame with G as the only I
G _ _ _ _ _ ....M F L _
We also know that one of the out spots must be reserved for one our United States cities, either R/W
G _ _ _ _ _ ....M F L R/W
Thus everybody else must be in.
G S P T O W/R ....M F L R/W
Frame with G being with one other I
G F/L _ _ _ _ ....M _ _ _
For this scenario of 2 I's being in, we must have all 3 S's in for it to outnumber the I's. As you can tell, this is impossible with M being out. (M is out due to G being in according to this local rule given in the question stem)
This means that we only have 2 ways the cities can be ordered. One way with R being in and another way with W being in the game.