Anchor: The most powerful families thus carved out for themselves whole regions that were to become the fiefdoms of Japanese feudalism.
Entailed: Entire regions were carved out by the most powerful families.
Contradiction: Regions were kept united and ruled by many small families together.
Contradiction: A group is singing in the school auditorium.
Contradiction: The idea was thought up by a mathematician.  
Contradiction: A man and woman stand for a wedding photo.
Contradiction: There is a canine with wet feet.