If A and B are two sets such that n(A)=24,n(B)=22 and n(A intersection B)=8 (I)n(A u B) (ii) n(A-B) (iii)n(B-A)
Answers
Answer:
(i) n(AuB) = 38
(ii) n(A-B) = 16
(iii) n(B-A) = 14
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(i) n(A ∪ B) = 38
(ii) n(A - B) = 16
(iii) n(B - A) = 14
Given :
A and B are two sets such that n(A) = 24 , n(B) = 22 and n(A ∩ B) = 8
To find :
(i) n(A ∪ B) (ii) n(A - B) (iii) n(B - A)
Solution :
Solution :Step 1 of 2 :
Write down the given data
Here it is given that A and B are two sets such that n(A) = 24 , n(B) = 22 and n(A ∩ B) = 8
Step 2 of 2 :
Calculate the required values
(i) n(A ∪ B)
= n(A) + n(B) - n(A ∩ B)
= 24 + 22 - 8
= 38
(ii) n(A - B)
= n(A) - n(A ∩ B)
= 24 - 8
= 16
(iii) n(B - A)
= n(B) - n(A ∩ B)
= 22 - 8
= 14
━━━━━━━━━━━━━━━━
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