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azamat
3 years ago
15

Let U be a universal set with subsets A and B such that n(U)=118, n(A)=57, n(B′)=69, and n(A∩B)=11. Find the following:

Mathematics
1 answer:
Arturiano [62]3 years ago
4 0
n(B)=n(U)-n(B')=118-69=49\\
n(A\cup B)=n(A)+n(B)-n(A\cap B)=57+49-11=95\\
n((A\cap B)')=n(U)-n(A\cap B)=118-11=107
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