How many different line-ups can the team make?

Question

1- There are nine different positions on a baseball team. If a team has 12 players how many different line-ups can the team make?

 

2-Baseball games consist of nine innings. A team wants to change its line-up every inning. If no game goes to extra innings, and a season consists of 195 games, how many complete seasons can the team play without repeating a line-up?

Answer 1

1.  C ¹² = 12! / ( 5!) ( 7!)

        5