The 10 players can be chosen for each place on the lineups, so:
- For the first place he can choose between 10 players (and choose 1)
-for the second place he can choose between 9 players (because 1 is in the 1st place)
- for the 3rd place he can choose between 8 players and this repeat
-4th place - 7 players
-5th place - 6 players
- 6th place - 5 players
and the same for the other 3 places
now to get the amount of possibles lineups we need to multiply the options to be chosen on each place, so:
10*9*8*7*6*5*4*3*2= 3628800
So the answer is:
Option A. 3,628,800