True or False True or false. A set is any collection of objects. True or false. A proper subset of a set is itself a subset of the set, but not vice versa. True or false. The empty set is a subset of every set. True or false. If A ∪ B = ∅ , then A = ∅ a

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- True or false. A set is any collection of objects.
- True or false. A proper subset of a set is itself a subset of the set, but not vice versa.
- True or false. The empty set is a subset of every set.
- True or false. If
*A* ∪ *B* = ∅ , then *A* = ∅ and *B* = ∅ .
- True or false. If
*A* ∩ *B* = ∅ , then *A* = ∅ or *B* = ∅ or both* **A* and *B* are empty sets.
- True or false. (
*A* ∪ *A*^{c})^{c} = ∅ .
- True or false. [
*A* ∩ (*B* ∪ *C*)]^{c}^{ }= (*A* ∩ *B*)^{c} *∩* (*A ∩ C*)^{c}
- True or false.
*n*(*A*) + *n*(*B*) = *n*(*A* ∪ *B*) +* **n*(*A ∩ B*)
- True or false. If
*A ∈ B*, then *n*(*B*) =* **n*(*A*) + *n*(*A*^{c}* ∩ *B).
- True or false. The number of permutations of
*n* distinct objects taken all together is *n*!
- True or false.
*P*(*n*, *r*) = *r*! *C*(*n*, *r*).