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Question
In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who like both tea and coffee
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Solution
Let ’T’ be the set of people like Tea
Let ‘C’ be the set of people like Coffee
n(T ∩ C) = 45, n(T) = 35 and n(C) = 20
Let X be the number of people like both Tea and Coffee.
By using the Venn-diagram
From the Venn-diagram we get.
35 – x + x + 20 – x = 45
55 – x = 45
55 – 45 = x
10 = x
People like both tea and coffee = 10
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