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Part 1
There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being the last​ stand-up comic of the evening. If this​ performer's request is​ granted, how many different ways are there to schedule the​ appearances?

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Answered by GPT-5 mini AI
Fix that performer in the last slot; the remaining 7 performers can be ordered in 7! ways.
Number of schedules = 7! = 5040.