Football Manager - Find Out Optimal First Eleven Amongst 25 Or 30 Players

I am looking into making a program, that will find out the optimal first eleven (in football or soccer for americans) amongst 25 or 30 players. This is going to apply for a computer game: "Football manager 2015"

I was thinking one class would be the player class that is going to have the variables:

player_number (unique) integer
name string
position (there are eleven positions)
position_rating for each position capable of playing

constructor would be add_player(int number, string name)

and a method would be add_position(position, position_rating)

one player can have more than one positions

another class would be the position

position name (unique) string

that's all I can think of now.

the main class would do a loop

starting with a random or defined position it would do all combinations of every single player into each position.

For example it could start with center forward position. There are 5 available players for that position. Lets say the program picks the first player that is also capable of playing in wide position. If the player is picked for center forward he is not avaialable for wide position.

Then the program would move to the wide position and lets say there are 4 players available. It would pick one.

Once 11 players are selected it would add the 11 ratings.

and start over for a different player in center forward position.

at the end of all loops it would print out the 11 players into their respective positions that got the best score.