Answer: 5,040 different ways
Explanation:
We are being asked to find the number of different ways 7 names can be listed. This is known as a permutation since the order of the elements does matter. Since there are 7 names and we want to list all 7 on the ballot, we can simply find the factorial of 7.
We will calculate 7 factorial to solve this question.
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040