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(a) Any city or town, or any board thereof, may operate a program of public recreation and playgrounds independently; they may cooperate in its conduct and in any manner in which they may mutually agree, including with counties or school districts; or they may delegate the cooperation of the program to a recreation board created by one (1) or more of them and appropriate money voted for this purpose to the board.
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(b) In the case of school districts, the right to enter into such agreements with any other public corporation, board, or body or the right to delegate power to a board for operating a program of recreation shall be authorized only by a majority vote cast at an annual school election.