Help!! I need a highly experienced mathematics tutor to please help me in tackling the following questions! Do understand what the question entail then answer accordingly providing detailed explanations and examples where necessary. Note: The questions are a bit complex!

1. What is the name given to a set that contains all the assemblage of subsets?

2. How many subsets are there in an empty set? Explain.

3. There are 4 subsets in a certain set. How many elements are there in the set? Explain.

4. There are 5 subsets in a set. Determine whether the statement is true or false. Support your answer with a logical explanation.

5. Is it true that subsets can either be odd or even numbers? Explain.

6. What will be the overall number of subsets that contains two elements in set A={1, 2, 3}?

7. Determine a set which is equivalent to {a, b} A, a A and b, c A. Explain your answer.

8. Where A={1, 2, 3, 4}, determine the total number of subsets containing element 2 but not 3.

9. In the domain of f, f(a) = f(b) implies that a equals b. The function can therefore be said to be?

10.Using integers, f(x)=x+1 to itself is onto. Is this statement true or false? Explain