The local theater has one ticket window. In how many ways can six people line up to buy a ticket?

720 ways

Step-by-step explanation:

The first person in line could be any one of the 6 people

6

Then there are 5 people left

The second person in line could be any one of the 5 people

5

Then there are 4 people left

The third person in line could be any one of the 4 people

4

Then there are 3 people left

The fourth person in line could be any one of the 3 people

3

Then there are 2 people left

The fifth person in line could be any one of the2 people

2

Then there are 1 people left

The last person in line could be any one of the 1 people

1

6*5*4*3*2*1 = 720 ways