Asked by Anonymous
Let A, B, and C be subsets of a universal set U and suppose n(U) = 200, n(A) = 23, n(B) = 25, n(C) = 29, n(A ∩ B) = 7, n(A ∩ C) = 9, n(B ∩ C) = 14, and n(A ∩ B ∩ C) = 4. Compute:
(a) n[A ∩ (B ∪ C)]
(b) n[A ∩ (B ∪ C)c]
(a) n[A ∩ (B ∪ C)]
(b) n[A ∩ (B ∪ C)c]
Answers
Answered by
Reiny
I suggest using a Venn diagram, all fields of the circles can be easily filled in.
Start with the intersection: n(A ∩ B ∩ C) = 4 , then do the doubles, etc
for b) , what is the meaning of c in n[A ∩ (B ∪ C)c] ?
Start with the intersection: n(A ∩ B ∩ C) = 4 , then do the doubles, etc
for b) , what is the meaning of c in n[A ∩ (B ∪ C)c] ?
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