Organize an upcoming movie night


A student club has 40 members including Stacy and Tom.

(a) In how many ways can the club elect different individuals to serve as president, vice-president, secretary and treasurer?

(b) In how many ways can the club select four of its members to organize an upcoming movie night?

(c) What is the probability that Stacy and Tom are elected as president and vice-president (not necessarily in that order)?

(d) What is the probability Stacy and Tom are selected for the movie night committee?

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