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Eduardo, Sarah, Ian, Katrina, Simone, Sergio and Dawn have all been invited to a dinner party. They arrive randomly and each person arrives at a

Eduardo, Sarah, Ian, Katrina, Simone, Sergio and Dawn have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.

a. In how many ways can they arrive?

b. In how many ways can Eduardo arrive first and Dawn last?

c. Find the probability that Eduardo will arrive first and Dawn last.

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