Answer
The CD player can play the 10 songs in 3,628,800 different ways.
Work Step by Step
1st song: 10 choices.
2nd song: 9 choices.
3rd song: 8 choices.
4th song: 7 choices.
5th song: 6 choices.
6th song: 5 choices.
7th song: 4 choices.
8th song: 3 choices.
9th song: 2 choices.
10th song: 1 choice.
Using the Multiplication Rule of Counting (see page 298) with fatorial:
$10\times9\times8\times7\times6\times5\times4\times3\times2\times1=10!=3,628,800$
