



 
Terry, It will take 21 weeks, as each team has 21 opponents. Number the teams 0, 1, ..., 20, and infinity. Week 1: 1v19, 2v18, 3v17, ..., 10v11, 20 v infinity To get each subsequent week, add one to each team number (infinity + 1 = infinity), and wrap around to 0 (like an odometer) after 20 (so 20+1 = 0). A 22nd week, if desired, can be arranged randomly. Hope this helps.  


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