Then we can only have 4 players.
On the basis of 4 players I would suggest you assign the letters A B C and D to each player (in alphabetical order of Christian names) i.e the letter A is assigned to the first player listed in said alphabetical order, etc... and rank the groups of teams from 1 to 4 ideally with group 1 containing the bookies favourite, group 2 containing the 2nd fav, group 3 the 3rd fav and group 4 the 4th fav.
The following lotto numbers are hereby deemed assigned to each letter:
A: 1 - 12
B: 13 - 24
C: 25 - 36
D: 37 - 48
Each player is then assigned a group of teams based on the order of numbers drawn in the next lotto draw i.e if the first number drawn is 13 Player B gets group 1, etc. In the unlikely event that no lotto numbers are drawn from 2 or more players' groups (A-D) the next lotto draw shall determine remaining allocations.