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Discussion

If n(U) = 700, n(A) = 200, n(B) = 300 and n(A ∩ B) = 100, then n(A' ∩ B') is:

  • A.100
  • B.200
  • C.300
  • D.400

Answer: C

Using De Morgan's Law, we know that A' ∩ B' = (A ∪ B)'.

Therefore, n(A' ∩ B') = n((A ∪ B)') = n(U) - n(A ∪ B).

First, we find n(A ∪ B):

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 200 + 300 - 100 = 400.

Now, n(A' ∩ B') = n(U) - 400 = 700 - 400 = 300.

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