To determine how many ways there are to fill the four committee positions, we need to calculate the total number of combinations of choosing one person for each position.

The positions are:

1. Faculty member: There are 4 people interested (Mrs. Hernandez, Ms. King, Dr. Lopez, Mr. Carter).
2. Male student: There are 4 people interested (Miguel, Trey, Deshaun, Greg).
3. Female student: There are 4 people interested (Lena, Heather, Donna, Kaitlin).
4. Parent: There are 3 people interested (Mrs. Choi, Mr. Thompson, Dr. Perez).

Since each position is independent of the others, the total number of ways to fill the committee is the product of the number of choices for each position.

$\text{Total ways} = 4 \times 4 \times 4 \times 3$

Now, calculate the result:

$\text{Total ways} = 4 \times 4 \times 4 \times 3 = 192$

Thus, there are 192 different ways to fill the four committee positions.

Do you need more details or have any questions?

Here are 5 related questions for further exploration:

1. What if there were 5 male students interested instead of 4?
2. How would the answer change if two faculty members were required instead of one?
3. What if one person could be selected for multiple roles?
4. How would you calculate the probability of selecting Mrs. Hernandez as the faculty member?
5. What if one student from each grade level must be chosen?

Tip: When calculating combinations or permutations, think about whether the order of selection matters to choose the correct formula.