Let universal set U is the set of all students of the survey and T is the set of student taking tea and C is the set of students taking coffee
then `n(U)=600,n(T)=150,n(C)=225`
and `n(T capC)=100`
`:. n(T cup C)-n(T)+n(C)-n(T cap C)`
`150 + 225 - 100`
`= 275`
Number of students who take neither tea nor coffee
`= n(U)-n(T cup C)`
`= 600-275 = 325`
Therefore, 325 students take neither tea nor coffee.