Upon the affirmative vote of a majority of the directors, which shall include an affirmative vote of at least three directors from each county within the district appointed pursuant to subdivisions (a), (b), (c), (d), (e), and (f) of Section 105020, the board may by resolution submit to the voters of the district a measure proposing a retail transactions and use tax ordinance in accordance with the provisions of Part 1.6 (commencing with Section 7251) of Division 2 of the Revenue and Taxation Code.