Counting Principles, Permutations, and Combinations.

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

• 12
• 7
• 223
• 64

How many outcomes?
making a sandwich with ham, turkey, or roast beef; Swiss or provolone cheese; and mustard or mayonnaise.

• 12
• 3
• 6
• 24

How many Outcomes?
Choosing from 3 sizes of bottled water and from distilled, filtered, or spring water.

• 6
• 9
• 2
• 12

How many outcomes?
Choosing from 3 flavors and 3 sizes of juice?

• 2
• 6
• 9
• 12

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12
• 60
• 15

How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?

• 672
• 40
• 6720

How many ways can you listen to 3 songs from a CD that has 12 selections?

• 1320
• 33
• 36

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 18
• 120
• 36

Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?

• 12,650
• 303,600
• 100
• 254