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Professional Tournament Seeding and Draw System
The following diagram shows the typical formula used to determine the draws for 16-seed men's and women's tournaments (for meetings in the round-of-16).   Sometimes there are some minor modifications employed; e.g, the #3/4 seed might be placed in the part of a quarter opposite the indicated position.

As indicated, more restrictions are placed on men's draws.  For instance, in a men's draw, the only seeded player #1 and #2 can possibly meet in the round of 16 is either #15 or #16; whereas, in a women's draw, #1 and #2 can meet any one among the #9 to #16 range.

In general, women's seeds are distributed such that seed #n and seed #(n+1) are distributed in opposite halves of the draw, where 'n' is an odd number.

Seedings and draw information for 16-seed pro tournaments

 
Women Men
1 1  
  quarter finalist  
one of 9-16 15 or 16    
  Semifinalist  
one of 9-16 9 or 10      
  quarter finalist    
one of 5-8 7 or 8    
  Finalist  
3 or 4 3 or 4      
  quarter finalist      
one of 9-16 13 or 14        
  Semifinalist    
one of 9-16 11 or 12      
  quarter finalist    
one of 5-8 5 or 6     
  Winner
one of 5-8 5 or 6     
  quarter finalist    
one of 9-16 11 or 12      
  Semifinalist    
one of 9-16 13 or 14        
  quarter finalist      
3 or 4 3 or 4      
  Finalist  
one of 5-8 7 or 8    
  quarter finalist    
one of 9-16 9 or 10      
  Semifinalist  
one of 9-16       15 or 16    
  quarter finalist  
2  2