14. In a street of 150 houses, three different newspapers are
delivered: T, G and M. Of these, 40 receive T, 35 receive G,
and 60 receive M; 7 receive T and G, 10 receive G and M and 4
receive T and M; 34 receive no paper at all. How many receive
all three?
Note: If '7 receive T and G, this information does not mean 7
receive T and G only.
Answers
Given : In a street of 150 houses, three different newspapers are
delivered: T, G and M. Of these, 40 receive T, 35 receive G,
and 60 receive M; 7 receive T and G, 10 receive G and M and 4
receive T and M; 34 receive no paper at all.
To Find : How many receive all three
Solution:
Total = 150
T = 40
G = 35
M = 60
T ∩ G = 7
G ∩ M = 10
T ∩ M = 4
T ∩ G ∩ M = ?
None = 34
Total = T + G + M - T ∩ G - G ∩ M - T ∩ M + T ∩ G ∩ M + None
=> 150 = 40 + 35 + 60 - 7 - 10 - 4 + T ∩ G ∩ M + 34
=> 150 = 148 + T ∩ G ∩ M
=> T ∩ G ∩ M = 2
2 receive all three
Learn More:
consider the following venn diagram where X,Y,Z are three sets. Let ...
https://brainly.in/question/23070207
Given below is a venn diagram for sets of students who takes maths ...
https://brainly.in/question/22172776
Answer:
The answer is 2
Step-by-step explanation:
I have attached two images, solved this problem using the concept of Venn diagram.
