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Question

Let A and B be two sets such that n(A) = 70, n(B) = 60 and n left parenthesis A union B right parenthesis = 110. Then n left parenthesis A intersection B right parenthesis is equal to-

  1. 240    
  2. 20    
  3. 100    
  4. 120    

The correct answer is: 20


    To find the value of n(AB)

    Given, n(A) = 70

    n(B) = 60

    n(AB) = 110

    n(AB)=n(A)+n(B)n(AB)
    n(AB)=n(A)+n(B)n(AB)

     =76− 110
     =20

    Therefore, n(AB= 20

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