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The Math Department Has 6 Committees That Meet Once a Month

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The Math Department has 6 committees that meet once a month. How many different meeting times must be used to guarantee that no one is scheduled to be at 2 meetings at the same time, if committees and their members are: C1={ Allen, Brooks, Marg }, C2={ Brooks, Jones, Morton }, C3={ Allen, Marg, Morton } , C4={ Jones, Marg, Morton }, C5={ Allen, Brooks }, C6={ Brooks, Marg, Morton } .

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