Question 1208870: 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?
Answer by ikleyn(52903)   (Show Source):
You can put this solution on YOUR website! .
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. ANSWER
Solved.
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In this problem, the order in the selected triples does matter -
- therefore, the solution counts for permutations.
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