Problem of The Week: Due Friday, September 10 (5 Points)

Dinner is over and it is the twin's turn to clean up and do the dishes.  Jaime grabs a dish towel and waits for Josh to start washing the dishes.  Instead of fighting about who has to wash the dishes, Josh suggests a game to settle the dispute.  He hands Jaime a die marked 1, 2, 3, 4, 5, and 6.  To play the game they take turns rolling the die 3 times in a row.  The first to roll a total of 12 in 3 rolls gets to dry tonight.  How many different ways can the twins combine 3 rolls of the die to total 12?