If X and Y are two sets X UY has 20 elements. X has 17 elements and Y has 10 elements, how many elements X nY has?
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Answer:
Answer:
X U Y = 50
\begin{gathered}x = 28 \\ y = 32 \\ \end{gathered}
x=28
y=32
X ∩ Y =?
n(x U y)=n(x)+n(y)- n(X ∩ Y)
50=28+32-n(X ∩ Y)
50-28-32=-n(X ∩ Y)
-10=-n(X ∩ Y)
therefore X ∩ Y= 10
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