An archaeology club has 57 members. How many different ways can the club select a president, vice president, treasurer, and secretary? different slates of candidates possible. There are (Simplify your answer.)

An archaeology club has 34 members. How many different ways can the club select a president, vice president, treasurer, and secretary: There are different slates of candidates possible. (Simplify your answer.)

There are 6 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being the last stand-up comic of the evening. If this performer's request is granted, how many different ways are there to schedule the appearances? ways (Type a whole number.) CE

Leadership positions for a college social club are up for election. Three people are needed to fill the positions of president, vice president, and secretary. Only 10 members are willing to serve in these positions. Each candidate is eligible for each position, and a candidate can only hold one leadership position. How many different ways can the three positions be filled using the 10 possible candidates?