Given three members of a group -- Alice, Bob, and Carol -- in how many ways can these three be chosen to be the three officers (president, secretary, and treasurer) of the group, assuming no person holds more than one job?
each person has a chance of 3 jobs, each can have on of those 3. 3 people with 3 separate jobs in no particular order means 3 to the 3rd power, or 9 different ways