Counting, Permutations, Combinations Review

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

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?

• 12

• 80

• 28

• 1024

In a given calling area, telephone numbers have the same first 3 digits.  The four-digit number that follows is different for each telephone number.  How many numbers are possible?

• 10, 000
• 1, 000
• 4

Members of a video club choose a personal identification number (PIN) consisting of 2 letters followed by 2 digits.  How many PIN's are possible if letters and digits are repeated? 

• 67, 600
• 72
• 1, 000, 000

You and three friends go to cold stones and order an ice cream. The menu has 9 types of ice creams and each of you is equally likely to order any type. What is the probability that each of you orders a different type?

• 1/9
• 3/9
• 56/81
• 504/729

Tags

CCSS.HSS.CP.B.9

Cate's history quiz has 3 true/false questions.  How many ways could she complete the quiz? (hint: write out all the possible ways she could complete the quiz)

• 2
• 3
• 8
• None of the these

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

• Permutation
• Combination

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

• Permutation
• Combination
• Neither

₇P₂

• 0
• 7
• 42
• 210