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Question

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

Then n(AcBc =


A

400

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B

600

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C

300

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D

200

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Solution

The correct option is C

300


n(AcBc = n[(A ∪ B)] = n(U) - n(A ∪ B)

= n(U) - [n(A) + n(B) - n(A ∩ B)]

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


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