Question

From the following Venn diagram, write the elements of the sets of A and B. And verify
n(AUB)+ n(ANB)= n(A) + n(B).
(TS - 2017)
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arsity Education Management Pvt. Ltd.-​

Answer 1

Given : Venn diagram,

To find : Write elements of sets A and B.

verify n (AUB)+n(A ∩ B)=n(A)+n(B)

Solution:

A = { a , c , d , f , h }

⇒ n(A) = 5

B = { a , b , d , e ,  g ,h }

⇒ n(B) = 6

A ∪ B = { a , b , c , d , e , f , g , h }

⇒ n(A ∪ B ) =  8

A ∩ B = { a ,  d ,   h }

⇒ n(A ∩ B )=  3

n(A ∪ B )  + n(A ∩ B ) = 8 + 3 = 11

n(A)  +  n(B)   = 5 + 6 = 11

⇒   n(A ∪ B )  + n(A ∩ B ) =  n(A)  +  n(B)  = 11

Hence Verified

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Answer 2

Step-by-step explanation:

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