This isn't a trivia question; it's just something I've wondered about. Is it possible to select two baseball teams such that nobody on Team A was ever teammates with anybody on Team B? Were there any such pairs of teams in 2010? (I don't know if we should count players who were teammates in the minors or not.) I leave it as an exercise for the reader.
What else is going on that we want to talk about?
https://www.battersbox.ca/article.php?story=20101210205025673