Permutation and Combination Practice

There are 35 teachers in a school. In how many different ways one principal and one assistant principal can be chosen?

• Combination

• Permutation

A physical education class contains 20 students. In how many ways can a swimming instruction group be formed consisting of 5 students?

• Combination

• Permutation

You have 10 books on a shelf. In how many ways can you choose 3 to pack in a box for storage?

• Combination

• Permutation

How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?

• Combination

• Permutation

The Grandview High School Band plans to play six pieces of music in their upcoming concert . How many ways can they arrange the order of their performance?

• Combination

• Permutation

The field hockey coach chooses players to put away equipment after each practice. If there are 16 players on the team, in how many ways can she choose four?

• Combination

• Permutation

A basketball team has 12 members who can play any position. How many different ways can the coach to choose 5 starting players?

• Combination

• Permutation

Eight people compete in a short track speed skating race. Assuming that there are no ties, in how many different orders can the skaters finish?

• Combination

• Permutation

A Powerball ticket has 56 numbers. In how many ways can six of the numbers be selected?

• Combination

• Permutation

A class has 31 students. In how many different ways can three of the students be selected to work on a class project together?

• Combination

• Permutation