The apostrophe could be either used or omitted in both cases. These are all OK: Council of Ministers' Meeting Council of Ministers Meeting ministers' meeting ministers meeting As the name of the meeting, usually the noun-noun form rather than the possessive+noun form is chosen, as it saves typeset and looks less cluttered. Of course, in specific context, one may be more appropriate than the other: The ministers' meeting was raucous with their shouting and name-calling .
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