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Chapter 4: Problem 28

Your family vacation involves a cross-country air flight, a rental car, and a hotel stay in Boston. If you can choose from four major air carriers, five car rental agencies, and three major hotel chains, how many options are available for your vacation accommodations?

Short Answer

Expert verified
Answer: 60 options.

Step by step solution

01

Identify the number of choices in each category

We have four major air carriers to choose from, five car rental agencies, and three major hotel chains.
02

Calculate the total number of options using the rule of product

The rule of product states that if there are M ways to do one thing and N ways to do another thing, then there are M 脳 N ways to do both. In this case: - For the air carriers, there are 4 choices. - For the car rental agencies, there are 5 choices. - For the hotel chains, there are 3 choices.
03

Compute the total number of possible options for vacation accommodations

Use the rule of product to multiply the number of choices in each category: 4 (choices for air carriers) 脳 5 (choices for car rental agencies) 脳 3 (choices for hotel chains) = 60
04

Answer the question

There are 60 different options available for vacation accommodations when considering the choices for air carriers, car rental agencies, and hotel chains.

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