The diagram below looks like the decomposition of a many: many relationship between Division and Dept. Would the relationship Division Contains Dept necessarily be many: many, or could it be 1:many?...

The diagram below looks like the decomposition of a many: many relationship between Division and Dept. Would the relationship Division Contains Dept necessarily be many: many, or could it be 1:many?

Which of the following statements is true?

(a) Any many:many relationship can be decomposed into two 1:many relationships.

(b) The structure X(1:many)Y(many:1)Z means that there must be a many:many relationship between X and Z.