Question

13. If n(E) = 40, n(A) = 15, n(B) = 12 and n((A n B)') = 32, find :
(i) n(A)
(ii) n(B')
(iii) n(An B)
(iv) n(AUB)
(v) n(A - B)
(vi) n(B - A).​

Answer 1

Step-by-step explanation:

Dear student,

n(A∪B) = n(∪) − n(A∪B)' = 40 − 12 = 28We have, n(A∪B) = n(A − B) + n(A∩B) + n(B − A)⇒28 = 10 + n(A∩B) +14⇒n(A∩B) = 28−24 = 4∴n(A) =n(A∩B) + n(A − B) = 4 + 10 = 14