Okay, i get it, now lets change the question.
All three players must have been right handed or all three could be left handed. All three must have played the same position (at least part of the time) for the same team (so they were possibly platooned during their overlap (don't you just love righty-righty platoons)). Finally all three players must have had 34 inch waists and preferred chewing tobacco to cigarettes.

