Put me in coach
Billy and Tommy are in the soccer finals (football if you prefer, but it gets confusing here in the States). They are up against their biggest rival, and need this win.
There are 12 players on their team, and only 9 from each team are allowed on the field at one time.
Their team decides to play in a 3-3-2-1 formation. That is to say there are 3 forwards (left – center – right), 3 midfielders (left, center, right), 2 defenders (left & right), and a goalie. The other 3 players will sit on the bench until they can sub in.
The team only has 2 players that are any good at the goalie position (Tommy and his buddy, John), but anyone can play any other position, including the one goalie that is not in goal.
What are the chances that Billy and Tommy will play on the same line at the same time? (eg. Billy is left forward, Tommy is center forward, and Joey is Right forward)