A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results are below. How many are not using any of the three?

35 said they drove alone.
24 rode in a carpool.
33 rode public transportation.
5 used both carpools and public transportation.
4 used both a carpool and sometimes their own cars.
7 used buses as well as their own cars.
2 used all three methods.

maybe they walked because that option is not listed so in this survey that has to be a possible answer

To find out how many students are not using any of the three methods (driving alone, carpooling, public transportation), we need to subtract the number of students who use at least one of these methods from the total number of students.

Let's calculate this step by step:

Step 1: Find the total number of students who use at least one of the three methods.
- Number of students who drove alone = 35
- Number of students who rode in a carpool = 24
- Number of students who rode public transportation = 33
- Number of students who used both carpools and public transportation = 5
- Number of students who used both a carpool and their own car = 4
- Number of students who used buses as well as their own car = 7
- Number of students who used all three methods = 2

To find the total number of students who use at least one of the three methods, we add these values together:
35 + 24 + 33 - 5 - 4 - 7 + 2 = 78

Step 2: Calculate the number of students who are not using any of the three methods.
To find this, we subtract the number of students who use at least one of the three methods from the total number of students.
Total number of students - Number of students who use at least one of the three methods = 100 - 78 = 22

Therefore, there are 22 students who are not using any of the three methods to commute to campus.