Permutations and Combinations Quiz

A team of 8 basketball players needs to choose a captain and co-captain. Is this a permutation or a combination?

• Permutation

• Combination

• Neither

• Both

Rob and Mary are planning trips to nine countries this year. They are deciding which countries to skip. Is this a permutation or a combination?

• Permutation

• Combination

• Neither

• Both

The batting order for seven players on a 12 person team. Is this a permutation or a combination?

• Permutation

• Combination

• Neither

• Both

There are 45 applicants for three Computer Programmer positions. Is this a permutation or a combination?

• Permutation

• Combination

• Neither

• Both

Castel and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. Is this a permutation or a combination?

• Permutation

• Combination

• Neither

• Both

There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes are there?

• 5995

• 6050

• 6000

• 6055

You are setting the combination on a three-digit lock. You want to use the numbers 123 but don't care what order they are in. Is this a permutation or a combination?

• Permutation

• Combination

• Neither

• Both

A group of 25 people are going to run a race. The top 8 finishers advance to the finals. Is this a permutation or a combination?

• Permutation

• Combination

• Neither

• Both

A team of 17 softball players needs to choose three players to refill the water cooler. Is this a permutation or a combination?

• Permutation

• Combination

• Neither

• Both

5 out of 13 students will ride in a car instead of a van. Is this a permutation or a combination?

• Permutation

  154,440

• Combination

  1,287

• Neither

• Both