You have three identical prizes to give away and a pool of ten finalists. The finalists are assigned numbers from 1 to 10. Write a program to randomly select the numbers of three finalists to receive a prize. Make sure not to pick the same number twice. For example, picking finalists 3, 6, 2 would be valid but picking 3, 3, 11 would be invalid because finalist number 3 is listed twice and 11 is not a valid finalist number. Random number generation is discussed in Chapter 6, but for this problem you can insert the following line of code to generate a random number between 1 and 10:

int num = (int) (Math.random() * 10) +1;