True or False

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 ∪ A^c)^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(A^c ∩ 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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