The Math Department Has 6 Committees That Meet Once a Month

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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5. Only C...

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