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apportionment (n.)

"a dividing into portions or shares," 1620s, from apportion + -ment. Perhaps influenced by French apportionnement. In U.S. especially of distribution of seats in the House of Representatives.

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Definitions of apportionment from WordNet

apportionment (n.)
the act of distributing by allotting or apportioning; distribution according to a plan;
the apportionment of seats in the House of Representatives is based on the relative population of each state
Synonyms: allotment / apportioning / allocation / parceling / parcelling / assignation
From wordnet.princeton.edu