Question
In a survey of people, it was found that people read newspaper read newspaper read newspaper read both and read both and read both and read all three newspapers. Find:
(i) the number of people who read at least one of the newspapers.
(ii) the number of people who read exactly one newspaper.
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Text solutionVerified
Let A be the set of people who read newspaper H.
Let B be the set of people who read newspaper T.
Let C be the set of people who read newspaper I.
Given , and
, and
Let U be the set of people who took part in the survey.
(i)
Hence, 52 people read at least one of the newspaper.
(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 newspaper T and I only.
Let d denote the number of people who read all three newspaper.
Accordingly,
Now,
Hence, people read exactly one newspaper.
Let B be the set of people who read newspaper T.
Let C be the set of people who read newspaper I.
Given , and
, and
Let U be the set of people who took part in the survey.
(i)
Hence, 52 people read at least one of the newspaper.
(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 newspaper T and I only.
Let d denote the number of people who read all three newspaper.
Accordingly,
Now,
Hence, people read exactly one newspaper.
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Question Text | In a survey of people, it was found that people read newspaper read newspaper read newspaper read both and read both and read both and read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper. |
Answer Type | Text solution:1 |
Upvotes | 151 |