A college survey was taken to determine where students study. Of 110 students surveyed, 65 studied in the library, 52 studied in the student union, 21 studied in both the library and the student union
Of those interviewed how many did not study in either the library or the student union
To find out how many students did not study in either the library or the student union, we need to subtract the students who studied in either the library or the student union from the total number of students surveyed.
Total students surveyed = 110
Students who studied in library = 65
Students who studied in student union = 52
We know that 21 students studied in both the library and the student union.
To find out how many students did not study in either the library or the student union, we can use the principle of inclusion-exclusion.
Total students who studied in the library or the student union = Students who studied in library + Students who studied in student union - Students who studied in both library and student union
Total students who studied in the library or the student union = 65 + 52 - 21 = 96
Now, we can find the number of students who did not study in either the library or the student union by subtracting the total students who studied in the library or the student union from the total number of students surveyed.
Students who did not study in either the library or the student union = Total students surveyed - Total students who studied in the library or the student union
Students who did not study in either the library or the student union = 110 - 96 = 14
Therefore, 14 students did not study in either the library or the student union.