N(a)=30, n(b)=45, n(a∪b)=65 then find 1) n(a∩b) 2)n(a–b) 3) n(b–a)
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Step-by-step explanation:
N(a)=30, n(b)=45, n(a∪b)=65
1) we know that,n(aUb)=n(a)+n(b)-n(a∩b)
=>65=30+45-n(a∩b)
=>65=75-n(a∩b)
=>-10=-n(a∩b)
n(a∩b)=10
(2)n(a-b)=n(a)-n(a∩b)
n(a-b)=30-10
n(a-b)=20
(3)n(b-a)=n(b)-n(a∩b)
n(b-a)=45-10
n(b-a)=35
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