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If X and Y are two sets such that n ( X ...

If X and Y are two sets such that `n ( X ) = 17, n ( Y ) = 23 and n ( X ∪ Y ) = 38`, find `n ( X ∩ Y )`.

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Knowledge Check

  • Let X and Y be two sets Statement-I : X cap(Y cupX)'=phi Statement-II : If n(X cupY)=P and n(X capY)=phi then n(XDeltaY)=P-Q ["where "X DeltaY=(A-B) cup(B-A)]

    A
    Statement-I is true, Statement-II is true and Statement-II is a correct explanation for statement-I.
    B
    Statement-I is true, Statement-II is true but Statement-II is not a correct explanation of Statement-I.
    C
    Statement-I is true, Statement-II is false.
    D
    Statement-I is false,Statement-II is true.

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