Hi PathFinder007,

This question uses what's called "Formal Logic" (a concept that you would see repeatedly on the LSAT, but rarely on the GMAT). You can answer it with some drawings and careful note-taking.

Based on the information in the prompt, we have seven players (A,B,C,D,E,F,G). We're asked for the total groups of 3 that can be formed with the following restrictions:

1) Only 1 player per position

2) A and B are trying out for fullback

C and D are trying out for sweeper

E, F and G are trying out for goalie

3) D will only play if B is also on the team

C will only play if E is also on the team

The big restrictions are in the two 'formal logic' rules....

-We can put E with ANYONE, but we can only put in C if E is ALSO there.

-We can put B with ANYONE, but we can only put in D if B is ALSO there.

By extension....

D can NEVER be with A (because then B would not be in the group)

C can NEVER be with F or G (because then E would not be in the group)

As such, there are only a few possibilities. We can have...

ACE

BCE

BDE

BDF

BDG

Final Answer:

GMAT assassins aren't born, they're made,

Rich