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If X and Y are two …

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If X and Y are two sets such that n(X)=17,n(Y)=23 and n(X u Y ) = 38, find n(XU Y)
  • 1 answers

Yogita Ingle 4 years, 3 months ago

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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