Posted by **Anonymous** on Wednesday, August 15, 2012 at 6:05pm.

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?

- algebra -
**MathMate**, Wednesday, August 15, 2012 at 8:07pm
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

P(n,r)=n!/(n-r)!

n! = n factorial

For the given example, n=33, r=5.

Can you take it from here?

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