Peaceful Travel Agency offers vacation packages. Each vacation package Includes a city.a month, and an alrline. The agency has 2 cities, 5 months and 1 airline to choose from. How many different vacation packages do they offer? square

To find the total number of different vacation packages offered by Peaceful Travel Agency, we need to multiply the number of choices for each component of the vacation package: city, month, and airline.<br /><br />Given:<br />- 2 cities<br />- 5 months<br />- 1 airline<br /><br />The total number of vacation packages is calculated as follows:<br /><br />\[<br />\text{Total number of vacation packages} = (\text{Number of cities}) \times (\text{Number of months}) \times (\text{Number of airlines})<br />\]<br /><br />Substituting the given values:<br /><br />\[<br />\text{Total number of vacation packages} = 2 \times 5 \times 1 = 10<br />\]<br /><br />Therefore, Peaceful Travel Agency offers \(\boxed{10}\) different vacation packages.