Problem: each of the 55 points is placed either inside or on the surface of a perfect sphere . if 60 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ? 
Options: ['a ) 7', 'b ) 11', 'c ) 13', 'd ) 16', 'e ) 38']
d