Finite Assignment 6

Finite Mathematics

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 both A 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).

· With Explanations