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In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like only tea?(a) 2(b) 3(c) 4(d) 5I got this question in an interview.This question is from Practical Problems on Union and Intersection of Two Sets in portion Sets of Mathematics – Class 11

Answer» CORRECT CHOICE is (a) 2

For explanation I would SAY: We KNOW, n (T ∪ C) = n (T) + n (C) – n (T ∩ C)

Given, n (T ∪ C) = 7, n(T)=4, n(C)=5

7=4+5- n (T ∩ C)

n (T ∩ C) = 2.

n (only T) = n (T ∩ C’) = n (T)- n (T ∩ C) = 4-2=2.

2 members like only tea.


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