Mike is playing another game with M&M's. He only has time to play the game five times before office hours. At each play of the game he either loses a fun-size bag of M&M's or wins a fun-size bag of M&M's. He begins the game with two fun-size bags of M&M's. He will play all five games unless he loses all his M&M's, or if he has a total of five bags of M&M's (no need to be greedy and take all the candy from the children). Find the total number of ways the game play can occur and draw a tree diagram to illustrate.