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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
This problem is similar to a sampling-with-replacement problem.
--
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 = ways to choose the officers.

RELATED QUESTIONS

A club with seven members is to choose three officers, if each office is to be held by... (answered by edjones)
2) A club elects a president, vice -president, and secretary-treasurer. How many sets of... (answered by The Troll Kid)
A club has 49 members. a) How many ways are there to choose four members of the club... (answered by algebriac)
A club has 50 members. a) How many ways are there to choose four members of the club... (answered by ewatrrr)
A club with eighteen members is to choose three​ officers: ​ president,... (answered by ikleyn)
A club with 13 members is to choose three​ officers: ​ president, vice-president,... (answered by ikleyn)
A math club has 30 members. During their acquaintance gathering, they have to choose 3... (answered by math_tutor2020,ikleyn)
A committee of 8 people are to choose a president, vice president, and a treasurer. If... (answered by Edwin McCravy)
a club elects a president, vice-president, and secretary-treasurer. How many sets of... (answered by ikleyn)