If A and B are two sets such that `n(A) = 15, n(A cup B) = 40 and n (A – InterviewSolution

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1.	If A and B are two sets such that `n(A) = 15, n(A cup B) = 40 and n (A cap B) = 5`, then find each of the following : (i) `n (B)` (ii) `n (A- B)` (iii) `n (B-A)`
Answer» (i) From `n(A cupB)=n(A)+n(B)-n(AcapB)` `40=15+n(B)-5` `rArr n(B) = 30`. (ii) `n(A-B)=n(A)-n(AcapB)` `=15-5=10` (iii) `n(B-A)=n(B) - n(Acap B)` `=30 - 5 = 25`.

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