Question

44. 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
(i) like both tea and coffee
(ii) do not like tea
do not like coffee.
​

Answer 1

Step-by-step explanation:

35 and 20 = 55

But in.party total their is Only 45 peoples

Answer 2

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Let A represent the number of persons like tea and B represent the number of persons like coffee.

n(A U B) = 45

n(A) = 35

n(B) = 20

(i) number of people who like both coffee and tea = n(A ∩B) = n(A) + n(B) - n(A U B) = 35 + 20 - 45 = 10

(ii) number of people who do not like tea = n(B) - n(A ∩ B) = 20 - 10 = 10

(iii) number of people who don't like coffee = n(A) - n(A ∩ B) = 35 - 10 = 25