Combinations Permutation

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

Determine whether the following scenarios are a permutation or a combination:

Selecting a lead and an understudy for a school play.

• Combination

• Permutation

Each lock contains 3 dials, each with ten digits. How many possible sequences of number exist?

• 100

• 10

• 720

• 1000

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

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

• 7 because 2 + 3 + 2

• 12 because 2 x 3 x 2

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

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15

• 40

• 80

• 10