The Downtown Theater has 1 ticket window. In how many ways can 3 people
line up to buy tickets? _____
1, 2, 3
2, 1, 3
1, 3, 2
2, 3, 1
3, 1, 2
3, 2, 1
To find the number of ways 3 people can line up to buy tickets at the Downtown Theater's ticket window, we can use the concept of permutations.
The formula to calculate permutations is P(n, r) = n! / (n - r)!, where n is the total number of items and r is the number of items selected at a time.
In this case, there are 3 people in total (n=3) and they are lining up in a specific order (r=3, as all 3 people need to be considered).
Using the permutation formula:
P(3, 3) = 3! / (3 - 3)!
= 3! / 0!
= 3! / 1
= 3
Therefore, there are 3 ways for 3 people to line up to buy tickets at the Downtown Theater's ticket window.