(a) The power, function, and responsibility of the regional school reapportionment committee shall be to determine and recommend a plan of representation on the regional board of education consistent with federal constitutional standards. Among the alternatives it may consider and include in its recommendation are the following: (1) The number of members on the regional board from each participating town shall be determined in the proportion, within permissible deviant limits consistent with federal constitutional standards, that the population of each town bears to the population of the entire regional school district; (2) the regional school board shall be elected at large by the voters of the entire regional school district; (3) the voting power of the members from each town on the regional school board shall be weighted in the proportion, within permissible deviant limits consistent with federal constitutional standards, that the population of each town bears to the population of the entire regional school district; (4) such other method of representation or of distribution of voting power that is consistent with federal constitutional standards, provided, in the case of any such method which determines the number of members on the regional school board from each participating town, or the voting power of such members, in accordance with the proportion that the population of such town bears to the population of the entire regional school district or to the population of any other town in such district, the population of any such town shall not include the patients of any state institution located in such town.

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(b) The regional school reapportionment committee shall submit its recommended plan of representation in writing to the State Board of Education within three months after its first organizational meeting.