Answer
720
Work Step by Step
The Fundamental Counting Principle$:$
The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur.
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Once an act is chosen, there is one less left to choose from.
1. The 1st act can be chosen in 6 ways.
2. The 2nd act can be chosen in 5 ways.
3. The 3rd act can be chosen in 4 ways.
4. The 4th act can be chosen in 3 ways.
5. The 5th act can be chosen in 2 ways.
6. The 6th act can be chosen in 1 way.
Total ways to arrange the acts:
$6\times 5\times 4\times 3\times 2\times 1=6!=720$