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If X and Y are two sets such that has 1...

If X and Y are two sets such that has 18 elements, X has 8 elements and Y has 15 elements; how many elements does `X nnY`have?

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To find the number of elements in the intersection of sets \(X\) and \(Y\) (denoted as \(X \cap Y\)), we can use the formula for the union of two sets: \[ |X \cup Y| = |X| + |Y| - |X \cap Y| \] Where: - \(|X \cup Y|\) is the number of elements in the union of sets \(X\) and \(Y\). ...
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Knowledge Check

  • If X and Y are two sets such that (XuuY) has 60 elements, X has 38 elements and Y has 42 elements, how many elements does (XnnY) have?

    A
    11
    B
    20
    C
    13
    D
    None of these
  • If X and Y are two sets such that X has 40 elements, X uu Y has 60 elements and X nn Y has 10 elements, how many elements does Y have ?

    A
    25
    B
    35
    C
    30
    D
    40
  • If X and Y are two sets such that X has 40 elements, X cup Y has 60 elements X cap Y has 10 elements. How many elements does Y have?

    A
    20
    B
    30
    C
    40
    D
    10
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