On the student government ballot at Dusable High School, the six candidates for president are listed first, followed by the four candidates for vice president, ending with the five candidates for secretary. In how many ways can the candidates be listed on the ballot?
6! ways to list the presidential candidates = 720
4! ways to list the vice-presidential candidates = 24
5! ways to list the secreterial candidates = 120
So 720 * 24 * 120 = 2,073,600 ways