Answer
There are 120 different ways to schedule the appearances.
Work Step by Step
We know that the situation involves making choices with six 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 six performances.
That is,
$5\times 4\times 3\times 2\times 1\times 1=120$
Hence, there are 120 different ways to schedule the appearances.
