Permutations and Combinations

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

• 1
• 30
• 5!
• 6!

Tags

CCSS.HSS.CP.B.9

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462
• 55440
• 55
• 1000

Tags

CCSS.HSS.CP.B.9

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

• 336
• 56
• 24
• 100

Tags

CCSS.HSS.CP.B.9

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?

• 40320
• 1
• 64
• 8

Tags

CCSS.HSS.CP.B.9

There are 14 candy bars for sale. How many ways can Andy choose five of them?

• 240240
• 2002
• 87178291200
• 70

Tags

CCSS.HSS.CP.B.9

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

• 220
• 36
• 1320
• 100

Tags

CCSS.HSS.CP.B.9

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

• 3628802
• 453600
• 604800
• 26300

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.9

How many ways can you arrange 10 books on a shelf?

• 10

• 100

• 50

• 3,628,800

Tags

CCSS.HSS.CP.B.9