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Let A and B be two sets such that n(A)=5...

Let A and B be two sets such that `n(A)=5,n(B)=3" and "n(AnnB)=2.`
(i) `n(AuuB)" "(ii) n(AxxB)" "(iii) n{(AxxB)nn(BxxA)}`
Hint (i) `n(AuuB)=n(A)+n(B)-n(AnnB).`
(ii) `n(AxxB)=n(A).n(B)`
(iii) If `n(AnnB)=m" then "n{(AxxB)nn(BxxA)}=2^(m).`

Text Solution

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`(i)" "6" "(ii)" "15" "(iii)" "a=5,b=-1`
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