A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows:

23 said they drove alone.
30 rode in a carpool.
31 rode public transportation.
4 used both carpools and public transportation.
3 used both a carpool and sometimes their own cars.
3 used buses as well as their own cars.
1 used all three methods.
How many used none of the above-mentioned means of transportation?

drove alone --- A

carpool ------- B
public trans ----C

number(A or B or C) = number A + number B + number C - Number (AandB) - number (Aand C) - number (Band C) + number (AndBandC)
= 23 +30 +31 - 4 - 3 - 3 + 1
= 75

so 100 - 75 or 25 used none of the above

Well, it seems like we have quite the mix of transportation enthusiasts here! So, let's do some math and figure out how many students used none of the mentioned means of transportation.

To find the number of students who used none of the mentioned means of transportation, we need to subtract the total number of students who used any of the mentioned means from the total number of students.

Let's break it down step by step:

Total students = 100

Students who drove alone = 23

Students who rode in a carpool = 30

Students who rode public transportation = 31

Students who used both carpools and public transportation = 4

Students who used both a carpool and sometimes their own cars = 3

Students who used buses as well as their own cars = 3

Students who used all three methods = 1

Now, let's add up the students who used any of the mentioned means:

23 + 30 + 31 + 4 + 3 + 3 + 1 = 95

So, out of the 100 students, 95 used some form of transportation mentioned.

To find the number of students who used none of the mentioned means, we subtract this value from the total number of students:

100 - 95 = 5

Hence, 5 students used none of the above-mentioned means of transportation. They must have had some cool alternative modes of transport, or maybe they rode unicorns or flew on broomsticks!

To find out how many students used none of the mentioned means of transportation, we need to subtract the total number of students who used at least one of the mentioned means of transportation from the total number of students.

Let's calculate that step by step:

Total number of students = 100

Students who used at least one of the mentioned means of transportation:
= Students who drove alone + Students who rode in a carpool + Students who rode public transportation
- Students who used both carpools and public transportation
- Students who used both a carpool and sometimes their own cars
- Students who used buses as well as their own cars
+ Students who used all three methods

= 23 + 30 + 31 - 4 - 3 - 3 + 1

= 75

Therefore, the number of students who used none of the above-mentioned means of transportation is:
Total number of students - Students who used at least one of the mentioned means of transportation
= 100 - 75
= 25

So, 25 students used none of the above-mentioned means of transportation.

To find out how many students used none of the mentioned means of transportation, we need to subtract the total number of students who used any kind of transportation from the total number of students in the poll.

Let's break down the given information:

- 23 students said they drove alone.
- 30 students rode in a carpool.
- 31 students rode public transportation.
- 4 students used both carpools and public transportation.
- 3 students used both a carpool and sometimes their own cars.
- 3 students used buses as well as their own cars.
- 1 student used all three methods.

Now, let's add up these numbers:

Total students using any kind of transportation = 23 + 30 + 31 + 4 + 3 + 3 + 1 = 95

Since there were 100 students in the poll, to find out how many used none of the mentioned means of transportation, we subtract the total students using any kind of transportation (95) from the total number of students (100):

Number of students using none of the mentioned means of transportation = 100 - 95 = 5

Therefore, 5 students used none of the above-mentioned means of transportation.