Mathematics
True False

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1. True or false. A set is any collection of objects. 2. True or false. A proper subset of a set is itself a subset of the set, but not vice versa. 3. True or false. The empty set is a subset of every set. 4. True or false. If A ∪ B = ∅ , then A = ∅ and B = ∅ . 5. True or false. If A ∩ B = ∅ , then A = ∅ or B = ∅ or bothA and B are empty sets. 6. True or false. (A ∪ Ac)c = ∅ . 7. True or false. [A ∩ (B ∪ C)]c= (A ∩ B)c ∩ (A ∩ C)c 8. True or false. n(A) + n(B) = n(A ∪ B) +n(A ∩ B) 9. True or false. If A ∈ B, then n(B) =n(A) + n(Ac ∩ B). 10. True or false. The number of permutations of n distinct objects taken all together is n! 11. True or false. P(n, r) = r! C(n, r). ...
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