To determine the number of students who took only religion, subtract the number of students who took combinations of courses from the total who took religion. The calculation gives 4 students who took only religion.
The survey question asks how many students took only religion out of 125 freshmen business students at a local university.
To find this number, we have to perform a set operation involving students who took English, science, and religion courses, and those students who took combinations of these courses.
From the information given, we can construct a Venn diagram and use it to calculate the number of students who only took religion.
We know that:
24 students took English.
21 students took science.
20 students took religion.
14 students took English but not science.
10 students took science and religion.
11 students took English and religion.
5 students took all three courses.
To find the number of students who took only religion, we first subtract the number of students who took religion with English or science or both (which is 10 + 11 - 5, because the 5 students who took all three are counted in both the 10 and the 11).
This gives us the number of students who took only religion, which is 20 - (10 + 11 - 5) = 20 - 16 = 4 students.