SOLUTION: How many ways are there to choose three officers from a club of 25 people if someone can hold more than one office?

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Question 1067957: How many ways are there to choose three officers from a club of 25 people if someone can hold more than one office?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
This problem is similar to a sampling-with-replacement problem.
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For the first officer, there are 25 choices.
For the 2nd officer, there are also 25 choices (because a person can hold more than one office)
For the 3rd officer, there are still 25 choices.
Putting all this together, there are 25x25x25 = highlight%2815625%29+ ways to choose the officers.