Question

If n(A)=25,n(B)=40,n(AUB)=50 and n(B') =25, find n(AnB)andn(U)​

Answer 1

Answer:

Step-by-step explanation:

n(A U B) = n(A) + n(B) - n(A ∩ B)

50 =  25 + 40 - n(A ∩ B)  

50 - 65=  - n(A ∩ B)  

-15 = - n(A ∩ B)  

n(A ∩ B) = 15

and , n(A)' = 25 -15 =10

n(U) = ​ n(AUB) + n(AUB)'

  n(U)     =50 + {n(A)'+n(B') - n(A ∩ B)' }

    n(U)    = 50 + 35 - n(A ∩ B)'

    n(U) = 85 - n(A ∩ B)'