Discrete Mathematics 432

Help me please! The following are 10 questions which need urgent submission. Ensure you understand in detail what the unit is about. Give examples where necessary and make sure you are relevant to the topic.

1. Four elements are in set A, 3elements in set B. How many elements are there in n(A X B)?

2. How many elements are there in A X A X A given that there are 3 elements in set A?

3. Give an example of a false statement concerning sets and explain your answer.

4. Describe a true correspondent statement in regard to n(A X B) = n(B X A) = 36

5. Determine whether C X (C X C) = (C X C) X C is true or false given that C = {1}.

6. Given sets A, B, C, and D, what is the equivalent of (A B) X (C D)?

7. Given statement A X C B X C where A B, determine whether the statement is true or false.

8. Given that set B and A have 4 and 3 elements respectively, how many subsets are there in the set (A X B)?

9. Give an example of a set that may satisfy set A X B=B X A. Explain your answer.

10.How many subsets are there in a set containing 3 elements?