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Draw a Venn diagram to illustrate the following information: n

Question

Draw a Venn diagram to illustrate the following information:
$n (A) = 25, n (B) = 16, n$
$(A \cap B) = 6 and n ((A \cup B)^{'}) = 5$
Hence find:
$n (A \cup B)$

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Draw a Venn diagram to illustrate the following information:

n (A) = 25, n (B) = 16, n

(A \cap B) = 6 and n ((A \cup B)^{'}) = 5

Hence find:

n (A \cup B)

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Text solutionVerified

From the question it is given that,

n (A) = 25 n (B) = 16 n (A \cap B) = 6

n ((A \cup B)^{'}) = 5

Then, We know that n(only

A

)

= n (A) - n (A \cap B)

So, n(only B) = 25 - 6 = 19 = n (B) - n (A \cap B) = 16 - 6 = 10

An adjoining Venn diagrams to show the relationship between the A and B sets,From the Venn diagram,

n (A \cup B) = 19 + 6 + 10 = 35

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Question Text	Draw a Venn diagram to illustrate the following information: $n (A) = 25, n (B) = 16, n$ $(A \cap B) = 6 and n ((A \cup B)^{'}) = 5$ Hence find: $n (A \cup B)$
Answer Type	Text solution:1
Upvotes	150