Let n(U) = 700, n(A) = 200, n(B) = 300 and n(A ∩ B) = 100, Then n ( A c ∩ B c ) = Options: A . &nbsp 400 B . &nbsp 600 C . &nbsp 300 D . &nbsp 200

Let n(U) = 700, n(A) = 200, n(B) = 300 and n(A ∩ B) = 100, Then n(Ac&#

Question

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

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

Options:

A . 400

B . 600

C . 300

D . 200

Answer: Option C
:
C

n( $A^{c}$ ∩ $B^{c}$ ) = n(U) - n(A ∪ B)

= n(U) - [n(A) + n(B) - n(A ∩ B)]

= 700 - [200 + 300 - 100] = 300.

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