Question

in a group of 70 people 37 like coffee 52 like tea and each person like one or two drink how many people like both coffee and tea
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Answer 1

refer to the attached image ❤️

Answer 2

Answer:

Let's C denote the set of people who like coffee and T denote the set of people who like tea.

=> n(C ∪ T) = 70

=> n(C) = 37

=> n(T)=52

We know that,

=> n(C ∪ T) = n(C)+n(T)-n(C ∩ T)

⠀⠀⠀⠀Therefore, 70 = 37 + 52-n(C ∩ T)

=> 70= 89-n(C ∩ T)

=> n(C ∩ T) = 89-70

=> 19 Ans.