Juli wants to visit Boston,Hartford and New york city. What are the possbile orders in which she could visit the three cities

Question

What are the orders of the three cities

Answer 1

Juli has three choices for the first city: Boston, Hartford, and NY.

 

She has two choices for the second city and one choice for the third city. 

 

Let's start with Boston:

 

Boston, Hartford, NY

Boston, NY, Hartford

 

Or she could visit Hartford first:

 

Hartford, Boston, NY

Hartford, NY, Boston

 

Finally, she could visit NY first:

 

NY, Boston, Hartford

NY, Hartford, Boston

 

There are six different orders she could visit the cities. If you wanted to know how many orders there could be without listing all the cities out, you'd multiple the number of choices for the first city (3) by the number of remaining choices for the second city (2) by the number of remaining choices for the third city (1). Since 3x2x1=6, there are six different orders she could visit the cities.