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Draw a Venn diagram to illustrate the following information: n

Question

Draw a Venn diagram to illustrate the following information:
$n (A) = 22, n (B) = 18 and n (A \cap B) = 5$
Hence find:
$n (A \cup B)$

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Scarlett Discussed

Draw a Venn diagram to illustrate the following information:

n (A) = 22, n (B) = 18 and n (A \cap B) = 5

Hence find:

n (A \cup B)

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Text solutionVerified

From the question it is given that,

n (A) = 22 n (B) = 18 n (A \cap B) = 5

Then, We know that n(only

A

)

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

So, n(only B) = 22 - 5 = 17 = n (B) - n (A \cap B) = 18 - 5 = 13

(i)

n (A \cup B)

From the Venn diagram,

n (A \cup B) = 17 + 5 + 13 = 35

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Question Text	Draw a Venn diagram to illustrate the following information: $n (A) = 22, n (B) = 18 and n (A \cap B) = 5$ Hence find: $n (A \cup B)$
Answer Type	Text solution:1
Upvotes	150