A college survey was taken to determine where students study. Of 107 students​ surveyed, 67 studied in the library​, 55 studied in the student lounge​, 21 studied in both the libraryand the student lounge.

Of those interviewed how many did not study in either the library or the student lounge?

To find the number of students who did not study in either the library or the student lounge, we need to subtract the number of students who studied in both places from the total number of students surveyed.

Total number of students surveyed: 107
Number of students who studied in both library and student lounge: 21

Number of students who did not study in either the library or the student lounge = Total number of students surveyed - Number of students who studied in both places
= 107 - 21
= 86

Therefore, 86 students did not study in either the library or the student lounge.