In a class of 40 students;30 offer science; 20 offer mathematics and 8 neither.
a.illustrate this information on a venn diagram .
b.how Many students offer both subjects.
c.how many students offer exactly one subject
so, did you make your diagram?
By the way, in classes students do not offer the subjects.
60
surely you can see that 60 is not an answer. There are only 40 students in all!
Since 8 students take neither, there are only 32 students to worry about.
If you count all the science and math, you get 50. But in doing that, you have counted twice the students who take both. That means that if there are x students who take both,
30+20-x = 32
x = 18
So, 18 students were counted twice because they take both subjects.
That means that 32-18 = 14 students take exactly one subject.
60! huh...
a. To illustrate this information on a Venn diagram, we can draw three overlapping circles. Label one circle "Science," another circle "Mathematics," and the third circle "Neither."
Inside the circle labeled "Science," write the number 30 to represent the 30 students who offer Science. Inside the circle labeled "Mathematics," write the number 20 to represent the 20 students who offer Mathematics. Finally, write the number 8 outside of all the circles to represent the 8 students who offer neither subject.
b. To determine how many students offer both subjects, we need to find the intersection between the Science and Mathematics circles. From the diagram, we can see that the overlapping region represents students who offer both subjects. In this case, the overlapping region of the two circles should be labeled with the number of students who offer both subjects. Based on the information provided, this number is not explicitly given, so we cannot determine it with certainty without additional information.
c. To find the number of students who offer exactly one subject, we need to subtract the number of students who offer both subjects from the total number of students who offer each subject. From the diagram, count the number of students in the "Science" circle who do not overlap with the "Mathematics" circle. Similarly, count the number of students in the "Mathematics" circle who do not overlap with the "Science" circle. These numbers represent the students who offer exactly one subject. However, without the number of students who offer both subjects, the exact values for these counts cannot be determined.