Question 1208870
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The board of directors of a corporation must select a president, a secretary, and a treasurer. 
In how many possible ways can this be accomplished if there are 21 members on the board of directors?
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Any of the 21 members can be selected as a president.

Any of the remaining 20 members can be selected as a secretary.

Any of the remaining 19 members can be selected as a treasurer.


In all, there are 21*20*19 = 7980  different ways to accomplish it.    <U>ANSWER</U>
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Solved.


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In this problem, the order in the selected triples does matter - 
- therefore, the solution counts for permutations.