Let n(U) = 700, n(A) = 200, n(B) = 300 and n(A ∩ B) = 100, Then n ( A c ∩ B c ) = Options: A . &nbsp400 B . &nbsp600 C . &nbsp300 D . &nbsp200

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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