A high school has 8 students who want to be class officers. If there are 5 different positions open, how many ways are there for the students to fill them?

Question

A high school has 8 students who want to be class officers. If there are 5 different positions open, how many ways are there for the students to fill them?
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Solution 1

This is a permutation problem because the order in which the students are chosen matters (i.e., being chosen as president is different from being chosen as vice president).

The formula for permutations is:

P(n, r) = n! / (n-r)!

where:

  • n is the total number of options,
  • r is the number of opti Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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