In study of Unity university. The following data were collected. There were 30 students taking mathematics, 28 students psychology and 43 taking English. 14 students were taking mathematics and psychology, 15 students were taking mathematics and English and 19 students were taking psychology and English, 6 students were taking all the three subjects.
Your Question?
Since, it doesn't state that the 14 or 19 or 6 students are studying psychology out of the 28 psychology students, we could assume that each group is separated from each other, therefore I think the amount of students that are taking psychology only is 28. (I'm not sure if 28 is the answer, I'm assuming it is.)
To find the number of students who are not taking any of the three subjects, we can use a method called the principle of inclusion-exclusion.
First, let's find the number of students taking at least one subject. We can do this by adding the number of students taking each subject and subtracting the students who are taking more than one subject.
Number of students taking at least one subject = 30 + 28 + 43 - (14 + 15 + 19) = 30 + 28 + 43 - 48 = 53.
Now, to find the number of students taking none of the three subjects, we subtract the number of students taking at least one subject from the total number of students.
Number of students not taking any subject = Total number of students - Number of students taking at least one subject = 30 + 28 + 43 + Number of students taking none of the three subjects.
Given that there are 6 students taking all three subjects, we can subtract this number from the total number of students to get the number of students taking none of the three subjects.
Number of students not taking any subject = 30 + 28 + 43 - 6 = 95.
Therefore, there are 95 students who are not taking any of the three subjects.