Permutations Combinations A

Max’s cell phone uses a three-digit pin to unlock it. How many different possible ways can he make a pin number using the digits 0-9?

• 90

• 729

• 27

• 1000

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

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

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

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8

• 64

• 8!

• 56

How would you solve?
A book club offers a choice of 8 books from a list of 40.  In how many ways can a member make a collection?

• Permutation

• Combination

• Factorial

• MPC

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12

• 60

• 15

• 125