Permutations and Combinations.

Ryan’s basketball team has 11 players. How many ways can his coach choose a group of 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

Meggie needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Meggie 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

Alex 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

There are 14 candy bars for sale. How many ways can Robbie choose five of them?

• 240240

• 2002

• 87178291200

• 70

Dominick 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

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

• 36

• 100

• 108

• 27