Permutations and Combinations

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 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?

• 1906500
• 317750
• 375
• 1953125

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

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

Erik gets to choose from five cake flavors, seven icing flavors, and three topping flavors. If he can only choose one of each flavor,  how many cakes are possible?

• 35
• 573
• 21
• 105

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

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

A restaurant offers four appetizers, nine entrees,and three desserts. How many different ways can Angela choose a three course meal?

• 36
• 100
• 108
• 27

Tags

CCSS.HSS.CP.B.9