Permutations & 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

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

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

• 240240
• 2002
• 87178291200
• 70

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

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