EMERGENCY!! NEED HELP WITH PROBLEM please!!!!?

Question

Brain Teaser: Four games were played between 8 teams...HELP PLEASE!!?
Four games were played between 8 teams: a, b, c, d, e, f, g, and h. The following predictions were made by 3 men FOR WHO WOULD WIN.
Prediction #1: a, b, f, g
Prediction #2: b, c, e, f
Prediction #3: e, f, g, h

Determine which team played against which team in each match.

Please state your answer, as well as how you came up with it. Best answer gets a fan and 10 POINTS!! Thanks so much.

To solve this porblem please state which teams played each other in each match

Answer 1

I think the 4 games were: A vs E, B vs H, C vs G and D vs F.

Here's how I did it (there are probably several ways):

First, each of the predictions gives one member of each of the 4 pairs of teams, so we can tell who did NOT play who:

So, the combinations that can NOT play against each other are:

A vs A, B, F, G
B vs A, B, C, E, F, G
C vs B, C, E, F
D vs D
E vs B, C, E, F, G, H
F vs A, B, E, F, G, H
G vs A, B, E, F, G, H
H vs E, F, G, H

So we are limited to the following combimations that CAN play against each other:

A vs C, D, E, H
B vs D, H
C vs A, D, G, H
D vs A, B, C, E, F, G, H
E vs A, D
F vs C, D
G vs C, D
H vs A, B, C, D

First, by inspection, E had to play A as from the set of 3 (E, F& G) we can easily determine that C & D had to play F & G in some combination. Also, we can now remove C & D from all the other combinations as well. So, now we have:

A vs E
B vs H
C vs A, G, H
D vs B, F, G, H
E vs A
F vs C, D
G vs C, D
H vs B

Now the combination H vs B has appeared, so we can remove H & B from the other lists too:

A vs E
B vs H
C vs G
D vs F, G
E vs A
F vs C, D
G vs C, D
H vs B

Now, C vs G has appeared, so we can get rid of any C & G's on the other lists:

A vs E
B vs H
C vs G
D vs F
E vs A
F vs D
G vs C
H vs B

The logic of solving this is much like that for Sidoku puzzles. It actually took about 10 x as long to explain how to solve, than to solve!

Answer 2

prediction 2 because there is a pattern! there is one team then a pair then one more team then another pair!

hope this helped!!!