Question

f n(A) = 20 , n(B) = 28 and n(A ∪ B) = 36 then n(A ∩ B) = ?​

Answer 1

Answer:

Step-by-step explanation:

GIVEN :

If n (A) = 20, n (B) = 28 and  then  

TO FIND :

The value of  

SOLUTION :

Given that n (A) = 20, n (B) = 28 and  

The formula in Set theory is given by :

Now substituting the values in the above formula we get,

= 12

∴  

∴ the value of  is 12

Answer 2

Answer:

n(A U B) = n(A) + n(B) - n(A ∩ B)

36 = 20 + 28 - n(A ∩ B)

36 = 48 -  n(A ∩ B)

36 - 48 = -n(A ∩ B)

-12 = -  n(A ∩ B)

n(A ∩ B) = 12