Let U be the universal set containing 700 elements.

Question:
Let $U$ be the universal set containing 700 elements. If $A, B$ are sub-sets of $U$ such that $n(A)=200, n(B)=300$ and $(A \cap B)=100$. Then $n\left(A^{\prime} \cap B^{\prime}\right)=$

(a) 400

(b) 600

(c) 300

(d) none of these.

Solution:

$n\left(A^{\prime} \cap B^{\prime}\right)=n(A \cup B)^{\prime}$