Question 1057343
Since the positions are titled (i.e. president, vice president, etc), the order matters. Thus
this is a problem involving permutations.


The number of permutations of 4 items, selected from a pool of 12 items is:


{{{P(12, 4) = 12!/(12-4)! = 12!/8! = 11880}}}


Another way to look at this is that there are 12 possible selections for president, 
and then 11 possible selections for vice president, and then 10 possible selections 
for secretary, and finally 9 possible selections for treasurer. Combining all four 
selections gives:


12 * 11 * 10 * 9 = 11,880 possible arrangements.