The Downtown Theater has 1 ticket window. In how many ways can 3 people line up to buy tickets?
To determine the number of ways 3 people can line up to buy tickets at the downtown theater's 1 ticket window, we can use the concept of permutations.
Since there are 3 people and 1 ticket window, the first person in line has 3 possible choices for the ticket window. Once the first person has chosen a window, the second person has 2 choices remaining, and the third person has 1 choice remaining.
Therefore, we can multiply the number of choices for each person together to find the total number of possible line-ups:
3 choices × 2 choices × 1 choice = 6 possible line-ups.
Hence, there are 6 ways for 3 people to line up to buy tickets at the downtown theater's 1 ticket window.
To calculate the number of ways in which 3 people can line up to buy tickets at the Downtown Theater, we can use the concept of permutations.
In this case, we have 3 people who need to line up in order to buy tickets. The first person can choose any of the 3 available positions (ticket window slots), the second person can then choose one of the remaining 2 positions, and finally, the last person will take the remaining position.
So, to calculate the total number of ways 3 people can line up, we multiply the number of choices for each person together:
3 choices for the first person * 2 choices for the second person * 1 choice for the third person = 6
Therefore, there are 6 ways in which 3 people can line up to buy tickets at the Downtown Theater.
Three people = a, b, c
abc
bac
bca
acb
cab
cba