Question

An investigator interviewed 100 students to determine the performance of three drinks:
milk, coffee and tea. The investigator reported that 10 students take all three drinks milk,
coffee and tea; 20 students take milk and coffee; 25 students take milk and tea; 12 students
take milk only;5 students take coffee only and 8 students take tea only. Then the number of
students who did not take any of three drinks is
(a) 10
(b) 20
(c) 25
(d) 30​

Answer 1

Answer:

Step-by-step explanation:

According to given information, the venn diagram is below.

Now, n(M∪C∪T)=12+5+8+10+15+20+10=80

Now, number of people who did not took any of the drinks is n(M  

′

∩C  

′

∩T  

′

)=n(M∪C∪T)  

′

 

⇒n(M∪C∪T)  

′

=N−n(M∪C∪T)

⇒n(M∪C∪T)  

′

=100−80=20

solution