Finite mathematics for the managerial, life, and social

Chapter 6;Tan, S. T. (2015). Finite mathematics for the managerial, life, and social sciences, 11th ed. Stamford, CT: Cengage Learning.

Upon successful completion of this module, the student will be able to:

·         Understand basic terminology of sets and set operations

·         Understand how Venn diagrams are used to illustrate real data

·         Find solutions to mathematical problems by finding the number of elements in a set

·         Use the fundamental principle of counting to solve more sophisticated problems

True or False. INSTRUCTIONS: If you think the statement is true, then show that it is true. On the other hand, if you think the statement is false, then give an example that disproves the statement.

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 ∪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!