Looking at (A), we could put L as a facilitator on the green team, with K being placed on that team as well. This works, so it's out because we're looking for something that HAS TO BE false.
With (B), we could place M on the red team as the facilitator and put K on that team too, so this works and (B) is out.
With (C), we know that O is always a facilitator, so the question is if we can put M with it. Sure enough, we can have O as a facilitator on the green team and M going with it, so (C) works and is out.
With (D), we need L and J on different teams. However, when L and J are on different teams, O is already the facilitator on L's team (the green team), so it can never be the case that L and J are on different teams with L being a facilitator. Thus, this answer choice must be false and is the correct answer choice.
With (E), we could have O being the facilitator on the green team and M on the red team, so this works and is out.
Does this help? If you need further clarification, let me know!
