How many batting lineups of the nine players can be made for a baseball team if the catcher bats first, the

Question

shortstop second, and the pitcher last?

Answer 1

1x1x9x8x7x6x5x4x1..I think.

Answer 2

No, that's not it. Sorry.

Answer 3

We have then only 6 positions to play with:
6 * 5 * 4 * 3 * 2 * 1 = 6! = 720