Permutations & Combinations

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84
• 504
• 9!
• 3!

Tags

CCSS.HSS.CP.B.9

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

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

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

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

How would you solve?
The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?

• Permutation
• Combination
• Factorial
• MPC

Tags

CCSS.HSS.CP.B.9

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

• 5040
• 35
• 28
• 840

Tags

CCSS.3.OA.D.8

CCSS.4.OA.A.3

CCSS.7.EE.B.3

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

The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?

• 36
• 2176782336
• 60
• 1402410240

Tags

CCSS.HSS.CP.B.9

Justin took a quiz with five multiple choice (A-D) and five true/false questions. How many different ways can he answer the questions?

• 1024
• 32
• 32768
• 25

Tags

CCSS.HSS.CP.B.9