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:

Rubella

A contagious viral disease marked by a rash and fever, also known as German measles, especially dangerous to pregnant women due to its potential to cause birth defects.

Organ of Corti

A structure located on the basilar membrane of the cochlea in the inner ear, responsible for the transduction of sound vibrations into electrical signals.

Cranial Nerve VIII

The vestibulocochlear nerve, responsible for hearing and balance.

Hearing

The faculty of perceiving sounds, which occurs when sound waves are converted into electrical signals and interpreted by the brain.