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Find the fewest number of meeting times?

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Senate committees C1 through C7 consists of the members as indicated:

C1 = {Adams, Bradford, Charles}, C2 = {Charles, Davis, Eggers}, C3 = {Davis, Ford}, C4 = {Adams, Gardner}, C5 = {Eggers, Howe}, 

C6 = {Eggers, Bradford, Gardner}, C7 = {Howe, Charles, Ford}.

determine the fewest number of meeting times that need to be scheduled for these committees?

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