Step-by-step Solution:

Quick Solution

The question asks for the maximum size of a valid team that must include G. We will start by including G and then use the chain of rules to add as many other players as possible.

1. Initial Deductions from Including G

If we begin by placing player G in the team, two rules are immediately triggered:

• Rule 4 ("If it includes G, it must also include F").
  
  ✔️ This forces us to also include F.
  
• Rule 5 ("The team must include exactly one among C, G and I").
  
  ❌ Since G is in, this forces C and I to be out.
  

Our team's status so far: IN: {G, F}
OUT: {C, I}

2. Maximizing the Team Size ➕

Now we need to add as many players as possible from the remaining pool: {A, B, D, E, H, J} without breaking any other rules.

• Rule 8 ("both A and D or neither"): To make the team as large as possible, we should choose to include both.
  
  ✔️ Add A and D.
  
• Rule 7 ("D and H cannot be members"): Since we just added D, this rule is triggered.
  
  ❌ H must be out.
  
• Rule 3 ("E or B, but not both"): To maximize the size, we should add one of them. Let's add E.
  
  ✔️ Add E (which means B is out).
  
• Rule 2 ("If the team includes J, it must also include F"): We can add J because F is already in our team.
  
  ✔️ Add J.
  

3. The Final Team and Conclusion

By making the choices that maximize the team size, our final team is:

Team = {G, F, A, D, E, J}

This team has 6 members and satisfies all the conditions in the problem statement (including having at least one Forward, one Point Guard, and one Defender).

Final Answer: The maximum size of the team that can include G is 6.