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

400

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600

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300

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none of these

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Solution

The correct option is C
300

$n (A^{'} \cap B^{'}) = n (A \cap B)^{'}$

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

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n (A) = 200, n (B) = 300 and (A \cap B) = 100

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If $n (U) = 700, n (A) = 200, n (B) = 300$ and $n (A \cap B) = 100,$ then $n (A^{'} \cap B^{'}) =$ ___.

Let n(U) = 700, n(A) = 200, n(B) = 300 and n(A ∩ B) = 100,

Then n( $A^{c}$ ∩ $B^{c}$ =

A

B

U

n (U) = 700, n (A) = 200, n (B) = 300

n (A \cap B) = 100

n (A^{'} \cap B^{'})

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