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 $n (A' \cap B') =$
(a) 400
(b) 600
(c) 300
(d) none of these.

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Solution

(c) 300
n( $A' \cap B'$ ) = $n (A \cup B)'$
$= n (U) - n (A \cup B) = 700 - \{200 + 300 - 100\} = 300$

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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 $n (A \cap B)$ = 100. Then , $n (A^{'} \cap B^{'}) =$

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are two sets and

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and

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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∩B=100. Then n A'∩B'= (a) 400 (b) 600 (c) 300 (d) none of these.

(c) 300 n(A'∩B') = nA∪B' =nU - n(A∪B)= 700 - 200+300-100= 300

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 $n (A' \cap B') =$
(a) 400
(b) 600
(c) 300
(d) none of these.

(c) 300
n( $A' \cap B'$ ) = $n (A \cup B)'$
$= n (U) - n (A \cup B) = 700 - \{200 + 300 - 100\} = 300$