Question

The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?

5,005
362,880
3,603,600
1,816,214,400

Answer 1

\[15\times 14\times 13\times 12\times 11\times 10\times 9\times 8\times 7\]

Answer 2

1,816,214,400