SOLUTION: Supposed that in a certain association,there are 12 elected members of the board of directors.In how many ways can a president,a vice president,a secretary,and a treasurer be selec

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Question 1057343: Supposed that in a certain association,there are 12 elected members of the board of directors.In how many ways can a president,a vice president,a secretary,and a treasurer be selectes from the bored?
Answer by solve_for_x(190)   (Show Source): You can put this solution on YOUR website!
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:



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.
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