Compute Probabilities Involving Permutations and Combinations
-Amy, Jean, Keith, Tom $720 ; 24 ; \frac { 1 } { 30 }$

question 253

Multiple Choice

Compute Probabilities Involving Permutations and Combinations
-Amy, Jean, Keith, Tom, Susan, and Dave have all been invited to a birthday party. They arrive randomly and each person arrives at a different time. In how many ways can they arrive? In how many ways can Jean arrive first and Keith last? Find the probability that Jean will arrive first and Keith will arrive last.

• A) \(720 ; 24 ; \frac { 1 } { 30 }\)
• B) \(720 ; 15 ; \frac { 1 } { 48 }\)
• C) \(120 ; 6 ; \frac { 1 } { 20 }\)
• D) \(120 ; 10 ; \frac { 1 } { 12 }\)

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Definitions:

Slave Culture

The social, cultural, and family structures, as well as traditions and linguistic dialects, developed among enslaved Africans and their descendants in the Americas.

African Past

The historical experiences, civilizations, and cultures of the African continent before the modern era.

Southern Plantation

A large farm or estate in the Southern United States, historically reliant on the labor of enslaved Africans and African Americans to grow cash crops such as cotton, tobacco, and sugar.

Paternalistic Ideology

A belief system that justifies the unequal distribution of power, where those in power control or influence those without power under the guise of providing for their needs.