Answer :

Let U be the set of students which are interviewed by investigator


A be the set of students which take milk


B be the set of students which take coffee


C be the set of students which take tea


Then ,n(U)=100 ,n(A)=12, n(B)=5 ,n(C)=8


Also, (ABC) means students who drink all of three=10


(AB) means students who drink milk and coffee =20-10=10


(BC) means students who drink coffee and tea =20-10=10


(AC) means students who drink milk and tea =25-10=15


ABC is the total of above =12+5+8+10+10+15+10=70


The number of students who didn’t take any drink =100-70=30

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