Question

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?

Answer 1

Since there are 8 but the last comedian will always perform last the amount of comedians you have to take into account in 7. To calculate the amount of combinations use 7! which is 5040. So there are 5040 different ways the comedians could be scheduled.