### Instruction: My soccer team has 16 players.  I have to choose a starting lineup of a goalie and 10 regular players (the regular players are interchangeable).  How many different starting lineups can I choose?### Response: We can choose the goalie in 16 ways.
That's right. Then we need to choose 10 of the remaining 15 players.
We can do that in 15 choose 10 = 3003 ways.