The Math Department Has 6 Committees That Meet Once a Month

question 66

Essay

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: $C _ { 1 } = \{$ Allen, Brooks, Marg $\} , C _ { 2 } = \{$ Brooks, Jones, Morton $\} , C _ { 3 } = \{$ Allen, Marg, Morton $\}$ , $C _ { 4 } = \{$ Jones, Marg, Morton $\} , C _ { 5 } = \{$ Allen, Brooks $\} , C _ { 6 } = \{$ Brooks, Marg, Morton $\}$ .

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Definitions:

Melanin

A pigment that gives color to skin, hair, and eyes, and protects against UV radiation.

Vascularized

Having blood vessels; supplied with or containing blood vessels.

Orbicularis Oris

A circular muscle surrounding the mouth, involved in controlling movements of the mouth and lips.

Levator Palpebrae Superioris

A muscle in the eyelid responsible for raising the upper eyelid.