if n(A) = 6, n(A intersect B) = 2 and n(A union B) = 11, find n(B)

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    math_celebrity Administrator Staff Member

    if n(A) = 6, n(A intersect B) = 2 and n(A union B) = 11, find n(B).

    n(A union B) = n(A) + n(B) - n(A intersect B)

    Plugging in our given values, we have:
    11 = 6 + n(B) - 2
    11 = 4 + n(B)

    Subtract 4 from each side:
    n(B) = 7


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