A scramble works this way: Each player on the team (usually groups of four, but groups of three work also) tees off. The best of the four shots is selected, all players move their balls to that spot and play their second shots. The best of the second shots is selected, all players move their balls to that spot and play their third shots; and so on until the ball is holed.
In a Florida Scramble, the twist is that the player whose shot is selected doesn't get to play the next shot. So in a Florida Scramble with teams of four, all four players tee off, the best shot is selected, then only three players hit their second shots. The best of the second shots is selected - and the player who hit it sits out the third shots; and so on until the ball is holed.
A Florida Scramble can help spread the "best shots" around among teammates, but it does mean that one player has to sit out every shot.

