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Option 3 : 200
Concept:
Let A, B and C be three finite sets and U is the finite universal set, then
- n (A ∪ B) = n (A) + n (B) – n (A ∩ B)
- n (A ∪ B) = n (A) + n (B) ⇔ A ∩ B = ϕ
- n (A - B) = n (A) – n (A ∩ B) = n (A ∩ B’)
- n (A ∪ B ∪ C) = n (A) + n (B) + n (C) – n(A ∩ B) – n (B ∩ C) – n (A ∩ C) + n (A ∩ B ∩ C)
- n (A’ ∪ B’) = n = n (U) – n (A ∩ B)
- n (A’ ∩ B’) = n = n (U) – n (A ∪ B)
- n (A Δ B) = n (A) + n (B) – 2 n (A ∩ B)
- n (A’) = n (U) – n (A)
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