SOLUTION

17 - 8 + 4 - 3 = 10 people
     
MODEL
 
1 2 3 4
5 6 7 8 9 10 11 12 13 14 15 16 17

1 2 3 4 5 6 7 8 9 10 11 12 13   

1 2 3 4 5 6 7 8 9 10 11 12 13