Permutations and Combinations

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

• 462
• 55440
• 55
• 1000

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

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

• 1906500
• 317750
• 375
• 1953125

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

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

• 40320
• 1
• 64
• 8

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

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

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