1) From 9 names on a ballot, a committee of 4, will be elected to attend a political national convention. How many different committees are possible?
2) In a contest in which 7 contestants are entered, in how many ways can the 4 distinct prizes be awarded?
3) A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 10 members and any members can be elected to each position? No person can hold more than one office.