If X and Y are two sets such that
n(X) = 17,n(Y) = 23 and n(XU Y
) =38 find n(X - Y)
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Step-by-step explanation:
It is given that:
n(X)=17,n(Y)=23,n(X∪Y)=38
n(X∩Y)=?
Using the formula
n(X∪Y)=n(X)+n(Y)−n(X∩Y)
∴38=17+23−n(X∩Y)
⇒n(X∩Y)=40−38=2
∴n(X∩Y)=2
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