Permutations and Combinations

There are 3 starters, 4 main courses and 2 desserts available.  How many ways are there to have a set dinner with a starter, a main course and a dessert?

• 9
• 16
• 24
• 28

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272
• 4080
• 680

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

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

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

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 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

Rob is one of seven children in his family. How many ways can his parents choose four siblings to do chores?

• 35
• 28
• 840
• 10

Tags

CCSS.HSS.CP.B.9

Grant has five pairs of pants, nine shirts, and six ties. How many different outfits can he make?

• 45

• 270

• 30

• 54