Question

If n (U)= 48,n(A)= 28, n(B)=33 and n(B-A)=12 ,then n(A n B)c is

Answer 1

n(AnB) = 21

Step-by-step explanation:

n(B) = n(AnB) + n(B-A)

Given ,

n(B) = 33

n(B-A) = 12

=>> 33 = n(AnB) + 12

=>> n(AnB) = 33-12 =21

Answer 2

$\displaystyle \sf{ n{(A \cap B)}^{c}} = 27$

Given :

n(U) = 48 , n(A) = 28 , n(B) = 33 and n(B - A) = 12

To find :

$\displaystyle \sf{ n{(A \cap B)}^{c}}$

Solution :

Step 1 of 2 :

Find the value of n(A ∩ B)

Here it is given that n(U) = 48 , n(A) = 28 , n(B) = 33 and n(B - A) = 12

Now , n(B - A) = 12

⇒ n(B) - n(A ∩ B) = 12

⇒ 33 - n(A ∩ B) = 12

⇒ n(A ∩ B) = 33 - 12

⇒ n(A ∩ B) = 21

Step 2 of 2 :

$\displaystyle \sf{ Find \: the \: value \: of \: \: n{(A \cap B)}^{c}}$

$\displaystyle \sf{ n{(A \cap B)}^{c}}$

= n(U) - n(A ∩ B)

= 48 - 21

= 27

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If n(A) = 300, n(A∪B) = 500, n(A∩B) = 50 and n(B′) = 350, find n(B) and n(U).

https://brainly.in/question/4193770

2. If A, B and C are any three sets then prove the following using venn-diagram

A∩(BUC) = (A∩B) U (A∩C)

https://brainly.in/question/23234089

#SPJ3