Counting Methods/Probability Study Guide

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

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

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

• 23

• 840

• 42

• 3,628,800

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

• Permutation
• Combination

What is the value of 5!

• 25
• 15
• 120
• 720

What does the P stand for in _nP_r?

• Partners
• Positions
• Papers
• Permutations

What does the P stand for in _nP_r?

• Partners
• Positions
• Papers
• Permutations

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination
• Permutation