Question

21. If X and Y are two sets such that XU Y has 50 elements,
X has 28 elements and
elements and Y has 32 elements , how many elements does

Xn Y have ?
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Answer 1

Answer:

$X U Y = 50$

$x = 28$

$y = 32$

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

Answer 2

Answer:

XnY =10

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