The Math Department Has 6 Committees That Meet Once a Month

question 87

Short Answer

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 } .

---

Definitions:

Circulatory System

The body's system responsible for the transport of blood, nutrients, gases, and wastes throughout the body, involving the heart and blood vessels.

Surface-Area-To-Volume Ratio

Ratio of a cell’s outside area to its internal volume; the relationship limits the maximum size of a cell.

Keratin

A type of protein found in the skin, hair, and nails, responsible for their strength, protection, and waterproofing properties.

Waterproofing

The process of making an object or structure resistant to water penetration.