Kennedy Middle School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent.
Here are the positions and the people interested in each.

Position	People interested
 Faculty member 	 Mrs. Hernandez, Ms. King, Dr. Lopez, Mr. Carter 
 Male student 	 Miguel, Trey, Deshaun, Greg 
 Female student 	 Lena, Heather, Donna, Kaitlin 
 Parent 	 Mrs. Choi, Mr. Thompson, Dr. Perez 
Based on this list, how many ways are there to fill the four committee positions?

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.

Kennedy Middle School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent. Based on this list, how many ways are there to fill the four committee positions? Faculty members: Mrs. Hernandez, Ms. King, Dr. Lopez, Mr. Carter; Male students: Miguel, Trey, Deshaun, Greg; Female students: Lena, Heather, Donna, Kaitlin; Parents: Mrs. Choi, Mr. Thompson, Dr. Perez.

Learn how to calculate the total number of ways to select a committee consisting of a faculty member, male student, female student, and parent at Kennedy Middle School. This combinatorics problem involves the application of the multiplication principle, making it ideal for students in Grades 6-8.

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