Let T Be the Set {3, 4, 5, 6, 7

question 12

Essay

Let T be the set {3, 4, 5, 6, 7, 8, 9, 10} and suppose five integers are chosen from T. Must two of these integers have the property that the difference of the larger minus the smaller equals 2? Why or why not? Write an answer that would convince a good but skeptical fellow student who has learned the statement of the pigeonhole principle but not seen an application like this one. Either describe the pigeons, the pigeonholes, and how the pigeons get to the pigeonholes, or describe a function by giving its domain, co-domain, and how elements of the domain are related to elements of the co-domain.

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Definitions:

Cakes

Baked goods that are typically sweet, often layered or decorated, and are usually served on special occasions like birthdays or weddings.

Absolute Advantage

A concept in international trade that occurs when one country can produce a good or service more efficiently than another country, using the same amount of resources.

Wheat

A cereal grain that is cultivated worldwide and serves as a staple food for a large portion of the world's population.

Specialization

The practice of focusing resources on the production of specific goods or services to increase efficiency and productivity.