



 
Hi Derek, Yes, it is possible. It will take a second to explain. There is a schedule for 16 players to play 5 rounds in groups of 4 so that each pair of players is together exactly once. Copied below is the 5round schedule you can find here: mathcentral.uregina.ca/QQ/database/QQ.09.08/h/bill4.html. The one you need is obtained by modifying it just a bit.
If you let the players in group A be 1,2,3,4,5,6,7,8 and the ones in group B be group 9,a,b,c,d,e,f,g, then your schedule is obtained by deleting day 1 from the schedule above (that is, your 4 days are numbered 2, 3, 4, 5 above). Enjoy!  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 