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Question
In a colony, 275 families buy Tamil newspaper, 150 families buy English newspaper, 45 families buy Hindi newspaper, 125 families buy Tamil and English newspaper, 17 families buy English and Hindi newspapers, 5 families buy Tamil and Hindi newspaper and 3 families buy all the three newspaper. If each family buy atleast one of these newspaper then find Total number of families in the colony
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Solution
Let T, E and H represent families buying Tamil newspaper, English newspaper and Hindi newspaper respectively.
n(T) = 275, n(E) = 150, n(H) = 45
n(T ∩ E) = 125, n(E ∩ H) = 17, n(T ∩ H) = 5
n(T ∩ E ∩ H) = 3
Let us represent the given data in Venn diagrams.
Total number of families in the colony
= 148 + 122 + 11 + 14 + 3 + 2 + 26
= 326
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