# Answer the True or False Questions Based on Algebra

**Question description**

# 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*= ∅ 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*).

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