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Discussion

If n(A) = 115, n(B) = 326, n(A-B) = 47, then what is n(A ∪ B) equal to?

  • A.373
  • B.165
  • C.370
  • D.394

Answer: A

We know that n(A) = n(A-B) + n(A ∩ B).

115 = 47 + n(A ∩ B)

n(A ∩ B) = 115 - 47 = 68.

Now we find the union:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A ∪ B) = 115 + 326 - 68 = 441 - 68 = 373.

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