Math, asked by iamabhaymittal6976, 9 months ago

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

Answered by sionbagh22
3

Answer:

(i) n(AuB) = 38

(ii) n(A-B) = 16

(iii) n(B-A) = 14

Hope it helps!!!

Thank you so much...

Attachments:
Answered by pulakmath007
1

(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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