Answer
There are 24 different ways to schedule the appearances.
Work Step by Step
We know that the situation involves making choices with five performances.
We use the fundamental counting principle to find the number of ways to schedule the appearances. Multiply the number of choices for each of the five performances.
That is,
$4\times 3\times 2\times 1\times 1=24$
Hence, there are 24 different ways to schedule the appearances.
