Permutations and Combinations

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720
• 120
• 10!

Tags

CCSS.HSS.CP.B.9

An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?

• 6!
• 120
• 20
• 3!

Tags

CCSS.HSS.CP.B.9

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

• 8
• 64
• 8!
• 56

Tags

CCSS.HSS.CP.B.9

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

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

• 1
• 3628800
• 100
• 1814400

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

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

• 5

• 3125

• 120

• 25

Tags

CCSS.HSS.CP.B.9

How many outcomes are there with tossing a coin and rolling a dice?

• 2
• 6
• 12
• 24

Tags

CCSS.HSS.CP.A.1

Which shows the sample space for flipping two coins?

• H, T
• HH, HT, TH, TT
• HH, TT
• Dime, Nickel

Tags

CCSS.HSS.CP.A.1