If n(A)=10,n(B)=7,n(AnB)=5 then find n(AuB)?
Answers
Answer:
n( AUB ) = 12
Explanation:
From the question, we have
n ( A ) = 10
n ( B ) = 7
n ( A∩B ) = 5
We know that,
n (AUB ) = n ( A ) + n ( B ) - n ( A∩B )
substituting the value we get
n ( AUB ) = 10 + 7 - 5
n ( AUB ) = 17 - 5
n ( AUB ) = 12
Intersection of Sets :
The intersection of sets is a collection of elements represented by both of the given sets. According to set theory, the intersection of any two sets, A and B, is the collection of all the elements in set A which are also present in set B. We use the symbol "∩" which stands for "intersection of." Venn diagrams make it easy to understand when sets intersect. Every set is represented by a circle in the venn diagram. The circles that overlap together indicate the connection between two or more sets and the elements they share. The circles that don't overlap are different from one another.
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