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Peaceful Travel Agency offers vacation packages. Each vacation package includes a city and an airline. The agency offers 5 cities and 2 airlines to choose from. How many different vacation packages do they offer?

Ask by Morgan Owen. in the United States
Jan 24,2025

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Answer

Peaceful Travel Agency offers 10 different vacation packages.

Solution

To determine the number of different vacation packages offered by Peaceful Travel Agency, we can use the basic principle of counting in combinatorics. Each vacation package consists of: - **1 city** chosen from **5 available cities** - **1 airline** chosen from **2 available airlines** To find the total number of unique combinations: 1. Multiply the number of city choices by the number of airline choices. 2. **Total Packages = Number of Cities × Number of Airlines** 3. **Total Packages = 5 × 2 = 10** **Therefore, Peaceful Travel Agency offers 10 different vacation packages.**

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The Deep Dive

To find the total number of different vacation packages, simply multiply the number of available cities by the number of airlines. In this case, there are 5 cities and 2 airlines. So, 5 cities x 2 airlines = 10 different vacation packages. That means you can mix and match to create a delightful getaway, whether you're off to Rome with Airline A or Tokyo with Airline B! Now picture this: At Peaceful Travel Agency, you’re not just picking a city; you’re stepping into an adventure! With every package, whether it's the beaches of Miami or the mountains of Denver paired with your favorite airline, you're choosing memories waiting to be made. So, get ready to pack your bags and explore the world!

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