If S is the set of students in Ms. Carmel's class, and A is any subset of S, we defi...

If S is the set of students in Ms. Carmel's class, and A is any subset of S, we define complement of A). Notice that the input in this function is a subset of S and the output is a subset of S. Answer the following:

a. Explain why f is a function and describe the domain and the range of f.

b. If there are 20 children in the class, what are the number of elements in the domain and the number in the range? Explain.

c. Is the function in this question a one-to-one correspondence? Justify your answer.