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Math Calculus Trigonometry Finite

Ma F.

asked • 12/15/20

finite math help

Let A and B represent subsets of a universal set U. Suppose that:

* $LaTeX: n\left(U\right)=50$

* $LaTeX: n\left(\left(A\cup B\right)^c\right)=10$

* $LaTeX: n\left(A^c\cap B\right)=9$

* $LaTeX: n\left(A\cap B^c\right)=14$

Find: $LaTeX: n\left(A\cup B^c\right)$

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Inactive Tutor answered • 12/15/20

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n(A∪B^c) = n(A) + n(B^c) - n(A∩B^c) = (14 + 17) + (50 - (9 + 17)) - 14 = 41.

Please draw a Vienn Diagramm, i can't draw in this editor

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