Combinations Permutations

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324

• 4896

• 816

• 54

Rob is one of seven children in his family. How many ways can his parents choose four siblings to do chores?

• 35

• 28

• 840

• 10

Grant has five pairs of pants, nine shirts, and six ties. How many different outfits can he make consisting of one pair of pants, one shirt, and one tie?

• 45

• 270

• 30

• 54

Permutation or Combination: The student body of 30 students wants to elect a president, vice president, secretary, and treasurer.

• permutation

• combination

Permutation or Combination: A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

• permutation

• combination

Permutation or Combination: A group of 14 people need to take an elevator to the top floor. They will go in groups of seven. They are deciding who will take the elevator on its second trip.

• permutation

• combination

Permutation or Combination: Jaidee and Amy are planning trips to four countries this year. There are 6 countries they would like to visit. They are deciding which countries to skip.

• permutation

• combination

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination

• permutation

• neither

How many ways can the committee be made up of 3 women and 1 man?

• 200

• 180

• 560

• 1820

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation

• Combination