if A and B are two sets and U is the universal set such that n(U)=700, n(A)=200, n(B)=300, n(A∩B)=100. find n(A1∩B1)
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n(A' intersection B') = n (AUB)'
=n(U)-n(AUB)...........1
n(AUB)=n(A)+n(B)-n(A intersection B)
=>n(AUB)=200+300-100
=>n(AUB)=400
n(AUB) =400 in 1.....
n(A' intersection B') =n(U)-n(AUB)
=>n(A 'intersection B')=700-400
=>n(A' intersection B') = 300
=n(U)-n(AUB)...........1
n(AUB)=n(A)+n(B)-n(A intersection B)
=>n(AUB)=200+300-100
=>n(AUB)=400
n(AUB) =400 in 1.....
n(A' intersection B') =n(U)-n(AUB)
=>n(A 'intersection B')=700-400
=>n(A' intersection B') = 300
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