A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows:
34 said they drove alone.
24 rode in a carpool.
28 rode public transportation.
3 used both carpools and public transportation.
3 used both a carpool and sometimes their own cars.
5 used buses as well as their own cars.
1 used all three methods.
How many used none of the above-mentioned means of transportation?
Number(A OR B OR C)
=NUMBER(A) + NUMBER(B) + Number(C) - Number(A AND B) - Number(A OR C) - Number(B AND C) + Number(A AND B AND C)
= 34+24+28 - 3 - 3 - 5 + 1
= 76
So 24 are not accounted for, they must have used none of the above
You could also use Venn diagrams
To find the number of students who used none of the mentioned means of transportation, we need to calculate the total number of students who used any of the mentioned means of transportation and then subtract it from the total number of students.
Let's calculate it step by step:
1. Calculate the total number of students who used any means of transportation:
- Number of students who drove alone = 34
- Number of students who rode in a carpool = 24
- Number of students who rode public transportation = 28
- Number of students who used both carpools and public transportation = 3
- Number of students who used both a carpool and sometimes their own cars = 3
- Number of students who used buses as well as their own cars = 5
- Number of students who used all three methods = 1
Total = 34 + 24 + 28 + 3 + 3 + 5 + 1
2. Calculate the number of students who used none of the mentioned means of transportation:
Number of students who used none of the mentioned means = Total number of students - Total number of students who used any means of transportation
Number of students who used none of the mentioned means = 100 - (34 + 24 + 28 + 3 + 3 + 5 + 1)
Now you can solve the equation to find the answer.