Barnyard and Barley's circus is in town, and Lorena is going with her father.They have seats in the balcony. When Lorena and her father arrive at the performance,they can choose from 6 entrances to the ground floor of he main arena. There are two stairways and one elevator that go to the balcony. How many different paths can Lorena and her father take from outside the arena to the balcony?

6 entrances to each stairway and the elevator = 6 * 3 = 18.

To find the number of different paths Lorena and her father can take from outside the arena to the balcony, we need to consider the options they have at each stage.

1. They have 6 choices for which entrance to take to the ground floor of the main arena.

2. Once they reach the ground floor, they have 2 choices of stairways or 1 choice of an elevator to go to the balcony.

Therefore, the total number of different paths can be calculated by multiplying the number of choices at each stage:

6 (choices for entrance) * 2 (choices of stairways) = 12 different paths.

So, Lorena and her father can take 12 different paths from outside the arena to the balcony.

To determine the number of different paths Lorena and her father can take from outside the arena to the balcony, we need to consider the options available at each step.

Step 1: Choosing the entrance to the ground floor of the main arena
Since there are 6 entrances, Lorena and her father have 6 options for the first step.

Step 2: Choosing the means of access to the balcony
There are 2 stairways and 1 elevator that go to the balcony, so Lorena and her father have 3 options for the second step.

To find the total number of different paths, we multiply the number of options at each step together:
6 entrances * 3 means of access = 18 different paths.

Therefore, Lorena and her father can take 18 different paths from outside the arena to the balcony.