1) in a race in which 6 automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
2) An election ballot asks voters to select six city commissioners from a group of fourteen candidates. In how many ways can this be done?
3) The senate in a certain state is comprised of 58 republicans, 39 democrats, and 3 independents. How many committees can be formed if each must have 3 republicans and 2 democrats?