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out of 50families in a certain town 29 own a coupe and 24 own a van. If 2families don't own either of them. what fraction of the families own both a coupe and a van? |
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Answer» GIVEN :families don't own either of them = 2total families = 50 total families who won PRISES = n(A ∪ B) = 50 - 2 = 48families own a coupe = n(A) = 29families own a van = n(B) = 24families own both a coupe and a van = n(A ∩ B )n(A ∪ B) = n(A) + n(B) - n(A ∩ B )48 = 29 + 24 - n(A ∩ B )n(A ∩ B ) = 29 +24 - 48n(A ∩ B ) = 53 - 48n(A ∩ B ) = 5 .: fraction of the families own both a coupe and a van is 5 families |
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