Counting Principal, 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

You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?

• 4096
• 24
• 1296
• 10

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

• 12
• 60
• 15

How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?

• 11,424,400
• 10,967,424
• 9000
• 90,000

A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  

• 3360
• 560
• 4080
• 680

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

Picking a President, Vice-President, and Secretary from a group of 12.

• Permutation
• Combination
• Neither

Find the possibilities when a group of 15 people are going to run a race.  The top 5 finishers advance to the finals.

• 1.3 x 10¹²
• 120
• 3003
• 360,360

Kimberly has seven colors of lanyards. She uses three different colors to make a key chain. How many different combinations can she choose?

• 210

• 5.040

• 6

• 35

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