In a group of 15 people; 7 can read French, 8 can read English while 3 of them can read neither of these two languages. The number of people who can read exactly one language is
10
9
5
4
Answer is (b). In a group of 15 people 3 cannot read any of two languages. So, n(A ∪ B) = 12, n(A) = 7, n(B) = 8. And we have n(A ∪ B) = n(A) + n(B) - n(A ∩ B) By putting the values, we have 12 = 7 + 8 - n(A ∩ B). So, n(A ∩ B) = 3. So, total number of people who can read exactly one language = (7 - 3) + (8 - 3) = 4 + 5 = 9.
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