Class 11 Exam > Class 11 Questions > In a survey of 60 people, it was found that 2...
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In a survey of 60 people, it was found that 25 people read newspaper H, 26 read
newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read
both T and I, 3 real all three newspapers. Find:
(i) the number of people who read at least one of the newspaper.
(ii) the number of people who read exactly one newspaper. pls answer this it's urgent?
Most Upvoted Answer
In a survey of 60 people, it was found that 25 people read newspaper H...
Given:
(i) the number of people who read at least one of the newspaper:
To find the number of people who read at least one newspaper, we need to add the number of people who read each newspaper separately and then subtract the people who read two or three newspapers to avoid double counting.
Number of people who read at least one newspaper = (H union T union I)
= (H) + (T) + (I) - (H intersection T) - (T intersection I) - (H intersection I) + (H intersection T intersection I)
= 25 + 26 + 26 - 11 - 8 - 9 + 3
= 52
Therefore, the number of people who read at least one of the newspapers is 52.
(ii) the number of people who read exactly one newspaper:
To find the number of people who read exactly one newspaper, we need to subtract the people who read two or three newspapers from the total number of people who read at least one newspaper.
Number of people who read exactly one newspaper = Number of people who read at least one newspaper - Number of people who read two or three newspapers
= 52 - (11 + 8 + 9 + 3)
= 21
Therefore, the number of people who read exactly one newspaper is 21.
- Total number of people surveyed = 60
- Number of people who read newspaper H = 25
- Number of people who read newspaper T = 26
- Number of people who read newspaper I = 26
- Number of people who read both H and I = 9
- Number of people who read both H and T = 11
- Number of people who read both T and I = 8
- Number of people who read all three newspapers = 3
(i) the number of people who read at least one of the newspaper:
To find the number of people who read at least one newspaper, we need to add the number of people who read each newspaper separately and then subtract the people who read two or three newspapers to avoid double counting.
Number of people who read at least one newspaper = (H union T union I)
= (H) + (T) + (I) - (H intersection T) - (T intersection I) - (H intersection I) + (H intersection T intersection I)
= 25 + 26 + 26 - 11 - 8 - 9 + 3
= 52
Therefore, the number of people who read at least one of the newspapers is 52.
(ii) the number of people who read exactly one newspaper:
To find the number of people who read exactly one newspaper, we need to subtract the people who read two or three newspapers from the total number of people who read at least one newspaper.
Number of people who read exactly one newspaper = Number of people who read at least one newspaper - Number of people who read two or three newspapers
= 52 - (11 + 8 + 9 + 3)
= 21
Therefore, the number of people who read exactly one newspaper is 21.
Community Answer
In a survey of 60 people, it was found that 25 people read newspaper H...
Let A be the set of people who read newspaper H. Let B be the set of peoplewho read newspaper T. Let C be the set of people who read newspaper
I.Accordingly,
n(A) = 25, n(B) = 26, n(C) = 26 , n(A ∩ C) = 9, n(A ∩ B) = 11,
n(B ∩ C) = 8 , n(A ∩ B ∩ C) = 3
Let U be the set of people who took part in the survey.
(i)
Accordingly,
n(A U B U C) = n(A) + n(B) + n(C) – n(A ∩ B) – n(B ∩ C) – n(C ∩ A) + n(A ∩B ∩ C) = 25 + 26 + 26 – 11 – 8 – 9 + 3 = 52
Hence, 52 people read at least one of the newspapers.
(ii) Let a be the number of people who read newspapers H and T only.
Let b denote the number of people who read newspapers I and H only.
Let c denote the number of people who read newspapers T and I only.
Let d denote the number of people who read all three newspapers.
Accordingly,
d = n(A ∩ B ∩ C) = 3
Now, n(A ∩ B) = a + d
n(B ∩ C) = c + d
n(C ∩ A) = b + d∴ a + d + c + d + b + d = 11 + 8 + 9 = 28
⇒ a + b + c + d = 28 – 2d = 28 – 6 = 22
Hence, (52 – 22) = 30 people read exactly one newspaper
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In a survey of 60 people, it was found that 25 people read newspaper H, 26 read
newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read
both T and I, 3 real all three newspapers. Find:
(i) the number of people who read at least one of the newspaper.
(ii) the number of people who read exactly one newspaper. pls answer this it's urgent?
Question Description
In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 real all three newspapers. Find: (i) the number of people who read at least one of the newspaper. (ii) the number of people who read exactly one newspaper. pls answer this it's urgent? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 real all three newspapers. Find: (i) the number of people who read at least one of the newspaper. (ii) the number of people who read exactly one newspaper. pls answer this it's urgent? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 real all three newspapers. Find: (i) the number of people who read at least one of the newspaper. (ii) the number of people who read exactly one newspaper. pls answer this it's urgent?.
In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 real all three newspapers. Find: (i) the number of people who read at least one of the newspaper. (ii) the number of people who read exactly one newspaper. pls answer this it's urgent? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 real all three newspapers. Find: (i) the number of people who read at least one of the newspaper. (ii) the number of people who read exactly one newspaper. pls answer this it's urgent? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 real all three newspapers. Find: (i) the number of people who read at least one of the newspaper. (ii) the number of people who read exactly one newspaper. pls answer this it's urgent?.
Solutions for In a survey of 60 people, it was found that 25 people read newspaper H, 26 read
newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read
both T and I, 3 real all three newspapers. Find:
(i) the number of people who read at least one of the newspaper.
(ii) the number of people who read exactly one newspaper. pls answer this it's urgent? in English & in Hindi are available as part of our courses for Class 11.
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newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read
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(i) the number of people who read at least one of the newspaper.
(ii) the number of people who read exactly one newspaper. pls answer this it's urgent? defined & explained in the simplest way possible. Besides giving the explanation of
In a survey of 60 people, it was found that 25 people read newspaper H, 26 read
newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read
both T and I, 3 real all three newspapers. Find:
(i) the number of people who read at least one of the newspaper.
(ii) the number of people who read exactly one newspaper. pls answer this it's urgent?, a detailed solution for In a survey of 60 people, it was found that 25 people read newspaper H, 26 read
newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read
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(i) the number of people who read at least one of the newspaper.
(ii) the number of people who read exactly one newspaper. pls answer this it's urgent? has been provided alongside types of In a survey of 60 people, it was found that 25 people read newspaper H, 26 read
newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read
both T and I, 3 real all three newspapers. Find:
(i) the number of people who read at least one of the newspaper.
(ii) the number of people who read exactly one newspaper. pls answer this it's urgent? theory, EduRev gives you an
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newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read
both T and I, 3 real all three newspapers. Find:
(i) the number of people who read at least one of the newspaper.
(ii) the number of people who read exactly one newspaper. pls answer this it's urgent? tests, examples and also practice Class 11 tests.
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