peaceful travel agency offers vacation packages. each vacation package includes a city, a month, and an…
peaceful travel agency offers vacation packages. each vacation package includes a city, a month, and an airline. the agency has 2 cities, 2 months, and 3 airlines to choose from. how many different vacation packages do they offer?
Answer
Explanation:
Step1: Apply counting principle
Use the multiplication - principle of counting. The number of ways to choose a city is $n_1 = 2$, the number of ways to choose a month is $n_2=2$, and the number of ways to choose an airline is $n_3 = 3$.
Step2: Calculate total packages
The total number of vacation packages $N=n_1\times n_2\times n_3$. Substitute $n_1 = 2$, $n_2 = 2$, and $n_3=3$ into the formula: $N=2\times2\times3$. $2\times2\times3 = 12$.
Answer:
12