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In the Venn diagram, the numbers represent the number of eleme

Question

In the Venn diagram, the numbers represent the number of elements in the subsets. Given that
$ξ =$ $F \cup G \cup H$ and $n (ξ) = 42$ , find $n (G^{'} \cup H) .$

18

28

30

38

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Liam Discussed

In the Venn diagram, the numbers represent the number of elements in the subsets. Given that

ξ =

F \cup G \cup H

and

n (ξ) = 42

, find

n (G^{'} \cup H) .

6 mins ago

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6 mins ago

Text solutionVerified

Clearly

n (G \cap H) = 42 - 12 - 5 - 7 - 8 = 10

n (G^{'} \cup H) = n (G^{'}) + n (H) - n (G^{'} \cap H)

= 20 + 18 - 8 = 30

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Question Text	In the Venn diagram, the numbers represent the number of elements in the subsets. Given that $ξ =$ $F \cup G \cup H$ and $n (ξ) = 42$ , find $n (G^{'} \cup H) .$
Answer Type	Text solution:1
Upvotes	150