posted by Anonymous .
A club with 33 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?
The five posts are distinct (i.e. no duplicate posts).
So the order of selection of these posts is important => solution is a permutation.
Selecting r objects from n distinct objects, where order is important is given by P(n,r) where
n! = n factorial
For the given example, n=33, r=5.
Can you take it from here?