question about team games.

Ok, so say there is a sequential team game going.
player1 & player 2 vs player 3 & player 4
player 3 gets eliminated. does player 4 go in between player 1 and player 2 every round?
player1 & player 2 vs player 3 & player 4
player 3 gets eliminated. does player 4 go in between player 1 and player 2 every round?