Chapter 12 - Data Analysis and Probability - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 754: 13

3628800

You have to find the possible orders for the final program. There are 10 skaters. The 1st skater has 10 choices, The 2nd one has 9,3rd one has 8 and so on..... 10 $\times$ 9 $\times$ 8 $\times$ 7 $\times$ 6 $\times$ 5 $\times$ 4 $\times$ 3 $\times$ 2 $\times$ 1=3628800. There are 3628800 possible orders for the final program.