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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

  • p,x_(1), x_(2) ,. . . x_(n) and q, y_(1),y_(2), . . . ,y_(n) are two arithmetic progressions with common differences a and b respectively. If alpha and beta are the arithmetic means of x_(1), x_(2), . . . . X_(n), and y_(1), y_(2), . . . . Y_(n) respectivley . then the locus of p(alpha, beta) is

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    C
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    D
    `p (x - alpha ) = q (y - beta)`

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