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

We can solve problems like this using multiplication rules. Since the order of accommodations does not matter, we can multiply all numerical values in any order we so choose. In this case, our numerical values are three air carriers, two car agencies, and five hotels.

3 x 2 x 5 = 30

There are 30 options available for vacation accommodations.