Combinations/Permutations

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

• 720

• 36

• 100

• 500

How many different 10-letter arrangements can be made from the word BASKETBALL?

• 3628802

• 453600

• 604800

• 26300

If Lucas owns 11 hoodies,how many ways can he choose four to bring on vacation?

• 44

• 7920

• 330

• 121

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

Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from?

• 456976

• 104

• 160

• 87880

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

• 200

• 180

• 560

• 1820

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

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