In a group of 50 people, 14 people drink tea but coffee is not a father and 30 people drink tea, so (a) how many people drink both tea and coffee? (b) How many people drink coffee but not tea?
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hi
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Let A and B be sets of persons who drink tea and coffee respectively.
Then
n(A∪B)=50
n(A−B)=14
n(A)=30.
n(A−B)=14
⇒n(A)−n(A∩B)=14
⇒n(A∩B)
n(A)−14=30−14=16.
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