if X and Y are two sets such that XUY has 28 elements, X has 13 elements and y has 20 elements, how many elements does XNY have
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Answer:
It is given that:
n(X∪Y)=18,n(X)=8,n(Y)=15
n(X∩Y)=?
We know that:
n(X∪Y)=n(X)+n(Y)−n(X∩Y)
∴18=8+15−n(X∩Y)
⇒n(X∩Y)=23−18=5
∴n(X∩Y)=5
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