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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

  • If X and Y are two sets and X' denotes the complement of X, then X cap (X cup Y)' is equal to

    A
    `X`
    B
    `Y`
    C
    `phi`
    D
    `X cap Y`

  • If sets A and B are defined as A= {(x, y)|y = (1)/(x), x ne 0 in R}, B= {(x, y)| y= -x, x in R} . Then,

    A
    `A cap B = A`
    B
    `A cap B = B`
    C
    `A cap B = phi`
    D
    `A cup B = A`

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