Q.No:2- In a survey of 50 persons of an apartment,it was found that 15 persons read Magazine A, 16 read Magazine B,16 read Magazine c,8 read both A and B, 10 read both B and C, 7 read both C and A, 5 read all the three Magazines,
* Answer the following questions;
Captionless Image
(i)
1 point
Captionless Image
i
ii
iii
iv
(ii)
1 point
Captionless Image
i
ii
iii
iv
(iii)
1 point
Captionless Image
i
ii
iii
iv
(iv)
1 point
Captionless Image
i
ii
iii
iv
(v)
1 point
Captionless Image
i
ii
iii
Answers
Answer:
mark me as brainlist please so I can give you the answer please dear mark me
Question,
In a survey of 50 persons in an apartment, it was found that 15 persons read magazine A, 16 persons read magazine B, 16 persons read magazine C, 8 persons read both A and B, 10 persons read both B and C, 7 persons read both C and A, and 5 persons read all three magazines. Find the number of persons who read none.
Answer,
23 people read none of the magazines.
Given,
Total Number of people = 50
Magazine Readers -
A → 15
B → 16
C → 16
A and B → 8
B and C → 10
C and A → 7
A, B, and C → 5
To Find,
People who don't read any magazine
Solution,
Using the sets formula,
Total = A + B + C - A∩B - B∩C - C∩A + A∩B∩C + Φ
A represents people who read the magazine A
B represents people who read the magazine B
C represents people who read the magazine C
A∩B represents people who read the magazines A and B both
B∩C represents people who read the magazines B and C both
C∩A represents people who read the magazine C and A both
A∩B∩C represents people who read the magazine A, B, and C
Φ represents people who read no magazine
Total = A + B + C - A∩B - B∩C - C∩A + A∩B∩C + Φ
50 = 15 + 16 +16 - 8 - 10 - 7 + 5 + Φ
Φ = 23
Thus, the number of people who do not read any magazine is 23.
#SPJ3