SOLUTION: 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 25 members on the boa

Algebra ->  Probability-and-statistics -> SOLUTION: 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 25 members on the boa      Log On


   

Question 1208317: 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 25 members on the board of directors?
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: 13800

Explanation
We have 25 choices for president, 24 choices for secretary, and 23 choices for treasurer.
That will give 25*24*23 = 13800 different permutations.

This is equivalent to using the nPr permutation formula where n = 25 and r = 3.
We use a permutation because order matters.
If the seats on this committee didn't have a name/rank, then order wouldn't matter and you would use a combination instead.