The common term “partition” does not mean that every instance has one identical construction. In the first use, each referent receives an explicitly assigned judgment. In the third, what matters is exhausting the relevant possibilities.
UsageKey question
Allocation to membersWhat belongs to each?
States of one subjectWhat suits each condition?
Exhaustive enumerationIs any relevant case omitted?
The three uses are related but analytically distinct. One should identify the relevant criterion before classifying the example.