A high school has 10 students who want to be class officers. If there are 4 different positions open, how many ways are there for the students to fill them?

Question

A high school has 10 students who want to be class officers. If there are 4 different positions open, how many ways are there for the students to fill them?
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

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

The formula for permutations is:

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

where:

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

This problem has been solved

Similar Questions

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?

A high school has 10 students who want to be class officers. If there are 4 different positions open, how many ways are there for the students to fill them?

A high school has 8 students who want to be class officers. If there are 3 different positions open, how many ways are there for the students to fill them?

In a school, 20% of the students are girls, and the rest are boys. If there are 750 boys, how many students are in the school in total?

In how many ways can the 4 members of a club fill 2 different leadership positions, assuming that each member can only fill one position?

1/3