Question

There are 7 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

Answer: 720

Step-by-step explanation:

Given : Number of performers who will present their comedy acts  = 7

If one of the performers insists on being the last​ stand-up comic of the evening and​ performer's request is​ granted, then its position got fixed.

Now, the remaining performers = 6

Now , the number of different ways to schedule the​ appearances is given by :-

$6!=6\times5\times4\times3\times2\times1=720$

Hence, the number of different ways to schedule the​ appearances =720