Answer: 33students
Step-by-step explanation:
Using set notation;
Let n(U) be total students = 100
n(T) be those that read Time = 41
n(N) be those that read Newsweek=34
n(R) be those that read U.S. News & World Report =28.
n(TnN) for readers of Time and Newsweek = 16.
n(TnR) for readers of Time and Newsweek = 13
n(NnR) for readers of Newsweek and U.S. News & World Report. =12
n(TnNnR) for readers of all three magazines. =5
n(TuNnuR)' for those that read none of the magazines=x
Using the equation in set,
n(TuNuR)' = n(T)+n(N)+n(R)-n(TnN)-n(TnR)-n(NnR)+n(TnNnR)
41+34+28-16-13-12+5= 33
Therefore 33students read none of the magazines.
Note that 'u' means union and 'n' means intersection.
Thank you!
