[math-fun] Tetris Light configurations

So ... my wife buys Tetris Lights for some children ... http://www.firebox.com/product/5339/Tetris-Light ... made of seven tetrominoes. What is an upper bound on the number of configurations in which the components are face-to-face touching another component on at least one face so that: - all components will (A) stand stationery and (B) light up, or - one or both of conditions 'A' and 'B' are ignored. Guy