Exception for invalid pair of arguments

Question

Which exception should be thrown by a method that accepts multiple arguments when the arguments given are invalid when given together?

As an example, consider

public Bar DoSomething(Foo f1, Foo f2)
{
  //implementation...
}

where completing the operation is contingent upon some relationship or similarity between f1 and f2 (if arrays/collections, they must be the same size; if athletes, they must be on the same team/opposing teams; etc.).

Each argument is a valid argument for the operation, but they are not valid together. Example:

public MatchResult PlayMatch(Player a, Player b)
{
  if(a.Team == b.Team)
  {
    //Throw exception here, since players must be on different teams
  }

  //Play match, determine winner
}

Throwing an ArgumentException seems incorrect, since it implies that one of the arguments is invalid rather than that the pair of arguments together is invalid.

Answer 1

You don't have to necessary throw an exception. In my opinion, this even should not throw an exception because is a deep part of your matching logic. I would just let matching fail (return zero or whatever you do) instead and mentioned this fact in documentation - something like "Compares two players from different teams." which implies that comparing players from the same team will result in fail.