Number of people in a company who drink tea is 45 while the number of people who drink coffee is 34 while 12 people drink both. What is the number of people who only drink either one of tea or coffee?
A
65
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B
55
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C
45
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D
35
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Solution
The correct option is B 55 Let AandB be the set of people who drink tea and coffee respectively.
To find the number of people who only drink either tea or coffee we will find the symmetric difference of AandB. ⇒n(AΔB)=n(A)+n(B)−2n(A∩B) =45+34−2(12)=55